What is the Greatest Common Factor of 35064 and 35072?

Greatest common factor (GCF) of 35064 and 35072 is 8.

GCF(35064,35072) = 8

We will now calculate the prime factors of 35064 and 35072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35064 and 35072.

How to find the GCF of 35064 and 35072?

We will first find the prime factorization of 35064 and 35072. After we will calculate the factors of 35064 and 35072 and find the biggest common factor number .

Step-1: Prime Factorization of 35064

Prime factors of 35064 are 2, 3, 487. Prime factorization of 35064 in exponential form is:

35064 = 2³ × 3² × 487¹

Step-2: Prime Factorization of 35072

Prime factors of 35072 are 2, 137. Prime factorization of 35072 in exponential form is:

35072 = 2⁸ × 137¹

Step-3: Factors of 35064

List of positive integer factors of 35064 that divides 35064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 487, 974, 1461, 1948, 2922, 3896, 4383, 5844, 8766, 11688, 17532

Step-4: Factors of 35072

List of positive integer factors of 35072 that divides 35064 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 137, 256, 274, 548, 1096, 2192, 4384, 8768, 17536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35064 and 35072. The biggest common factor number is the GCF number.
So the greatest common factor 35064 and 35072 is 8.

Also check out the Least Common Multiple of 35064 and 35072