What is the Greatest Common Factor of 64064 and 64072?

Greatest common factor (GCF) of 64064 and 64072 is 8.

GCF(64064,64072) = 8

We will now calculate the prime factors of 64064 and 64072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64064 and 64072.

How to find the GCF of 64064 and 64072?

We will first find the prime factorization of 64064 and 64072. After we will calculate the factors of 64064 and 64072 and find the biggest common factor number .

Step-1: Prime Factorization of 64064

Prime factors of 64064 are 2, 7, 11, 13. Prime factorization of 64064 in exponential form is:

64064 = 2⁶ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 64072

Prime factors of 64072 are 2, 8009. Prime factorization of 64072 in exponential form is:

64072 = 2³ × 8009¹

Step-3: Factors of 64064

List of positive integer factors of 64064 that divides 64064 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 16, 22, 26, 28, 32, 44, 52, 56, 64, 77, 88, 91, 104, 112, 143, 154, 176, 182, 208, 224, 286, 308, 352, 364, 416, 448, 572, 616, 704, 728, 832, 1001, 1144, 1232, 1456, 2002, 2288, 2464, 2912, 4004, 4576, 4928, 5824, 8008, 9152, 16016, 32032

Step-4: Factors of 64072

List of positive integer factors of 64072 that divides 64064 without a remainder.

1, 2, 4, 8, 8009, 16018, 32036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64064 and 64072. The biggest common factor number is the GCF number.
So the greatest common factor 64064 and 64072 is 8.

Also check out the Least Common Multiple of 64064 and 64072