Using the Prime Factorization Method, calculate the GCF of (36,70)

Now, show the prime factorization (factor tree) for 36 by expressing it as the product of ALL prime numbers.

36 = 2 x 18 <--- 2 is a prime number

Next step is to reduce 18 to the product of prime numbers:

18 = 3 x 6 <--- 3 is a prime number

Next step is to reduce 6 to the product of prime numbers:

6 = 2 x 3 <--- 2 is a prime number

Next step is to reduce 3 to the product of prime numbers:

The prime factorization for 36 is 2 x 2 x 3 x 3

Now, show the prime factorization (factor tree) for 70 by expressing it as the product of ALL prime numbers.

70 = 2 x 35 <--- 2 is a prime number

Next step is to reduce 35 to the product of prime numbers:

35 = 5 x 7 <--- 5 is a prime number

Next step is to reduce 7 to the product of prime numbers:

The prime factorization for 70 is 2 x 5 x 7

Prime factorization for 36 = 2 x 2 x 3 x 3

Prime factorization for 70 = 2 x 5 x 7

GCF of (36,70) =