What is the Greatest Common Factor of 64512 and 64532?

Greatest common factor (GCF) of 64512 and 64532 is 4.

GCF(64512,64532) = 4

We will now calculate the prime factors of 64512 and 64532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64512 and 64532.

How to find the GCF of 64512 and 64532?

We will first find the prime factorization of 64512 and 64532. After we will calculate the factors of 64512 and 64532 and find the biggest common factor number .

Step-1: Prime Factorization of 64512

Prime factors of 64512 are 2, 3, 7. Prime factorization of 64512 in exponential form is:

64512 = 2¹⁰ × 3² × 7¹

Step-2: Prime Factorization of 64532

Prime factors of 64532 are 2, 13, 17, 73. Prime factorization of 64532 in exponential form is:

64532 = 2² × 13¹ × 17¹ × 73¹

Step-3: Factors of 64512

List of positive integer factors of 64512 that divides 64512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 256, 288, 336, 384, 448, 504, 512, 576, 672, 768, 896, 1008, 1024, 1152, 1344, 1536, 1792, 2016, 2304, 2688, 3072, 3584, 4032, 4608, 5376, 7168, 8064, 9216, 10752, 16128, 21504, 32256

Step-4: Factors of 64532

List of positive integer factors of 64532 that divides 64512 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 73, 146, 221, 292, 442, 884, 949, 1241, 1898, 2482, 3796, 4964, 16133, 32266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64512 and 64532. The biggest common factor number is the GCF number.
So the greatest common factor 64512 and 64532 is 4.

Also check out the Least Common Multiple of 64512 and 64532