Greatest Common Factor (GCF):, GCF and LCM of Monomials

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Prime Factorization:

Process of finding which numbers multiply together to make the original number.

Greatest Common Factor (GCF):

The largest factor that 2 number have in common.

15x

What is the GCF: 105x, 30xy, and 75x

6ac

What is the GCF: 12abc and 18ac

4x²y

What is the GCF: 12x³y² and 16x²y

3x

What is the GCF: 21x⁵, 24xy and 30x²y³

11m²n³

What is the GCF: 22m⁵n³ and 11m² and n⁴

12b²

What is the GCF: 36ab³ and 24b²

4

What is the GCF: 60y and 56x²

6xy

What is the GCF: 66xy and 30x²y

10x²

What is the GCF: 80x³ and 30x²y

3xy

What is the GCF: 9xy and 15x²y⁴

xy

What is the GCF: x²y² and xyz

70a²b²

What is the LCM: 10a²b² and 12a²

36xy

What is the LCM: 12x and 36y

84y²x

What is the LCM: 14xy, 21y² and 28y

532x²y

What is the LCM: 14xy, 38x² and 28x²

48y²

What is the LCM: 16y² and 24y²

60m²n²

What is the LCM: 20n², 30m²n²

480m²n

What is the LCM: 32m², 40mn and 24m

210y²x

What is the LCM: 35y², 21xy and 14y

Prime Number:

a number whose only factors are 1 and itself. 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97

Composite Number:

is any whole number with more than 2 factors. *all numbers that are not prime numbers.

Factor:

numbers you can multiply together to get another number.

Product:

the answer you get when two or more numbers are multiplied together.


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