What is the Greatest Common Factor of 64008 and 64012?

Greatest common factor (GCF) of 64008 and 64012 is 4.

GCF(64008,64012) = 4

We will now calculate the prime factors of 64008 and 64012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64008 and 64012.

How to find the GCF of 64008 and 64012?

We will first find the prime factorization of 64008 and 64012. After we will calculate the factors of 64008 and 64012 and find the biggest common factor number .

Step-1: Prime Factorization of 64008

Prime factors of 64008 are 2, 3, 7, 127. Prime factorization of 64008 in exponential form is:

64008 = 2³ × 3² × 7¹ × 127¹

Step-2: Prime Factorization of 64012

Prime factors of 64012 are 2, 13, 1231. Prime factorization of 64012 in exponential form is:

64012 = 2² × 13¹ × 1231¹

Step-3: Factors of 64008

List of positive integer factors of 64008 that divides 64008 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 127, 168, 252, 254, 381, 504, 508, 762, 889, 1016, 1143, 1524, 1778, 2286, 2667, 3048, 3556, 4572, 5334, 7112, 8001, 9144, 10668, 16002, 21336, 32004

Step-4: Factors of 64012

List of positive integer factors of 64012 that divides 64008 without a remainder.

1, 2, 4, 13, 26, 52, 1231, 2462, 4924, 16003, 32006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64008 and 64012. The biggest common factor number is the GCF number.
So the greatest common factor 64008 and 64012 is 4.

Also check out the Least Common Multiple of 64008 and 64012