What is the Greatest Common Factor of 64256 and 64272?

Greatest common factor (GCF) of 64256 and 64272 is 16.

GCF(64256,64272) = 16

We will now calculate the prime factors of 64256 and 64272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64256 and 64272.

How to find the GCF of 64256 and 64272?

We will first find the prime factorization of 64256 and 64272. After we will calculate the factors of 64256 and 64272 and find the biggest common factor number .

Step-1: Prime Factorization of 64256

Prime factors of 64256 are 2, 251. Prime factorization of 64256 in exponential form is:

64256 = 2⁸ × 251¹

Step-2: Prime Factorization of 64272

Prime factors of 64272 are 2, 3, 13, 103. Prime factorization of 64272 in exponential form is:

64272 = 2⁴ × 3¹ × 13¹ × 103¹

Step-3: Factors of 64256

List of positive integer factors of 64256 that divides 64256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 251, 256, 502, 1004, 2008, 4016, 8032, 16064, 32128

Step-4: Factors of 64272

List of positive integer factors of 64272 that divides 64256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 103, 104, 156, 206, 208, 309, 312, 412, 618, 624, 824, 1236, 1339, 1648, 2472, 2678, 4017, 4944, 5356, 8034, 10712, 16068, 21424, 32136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64256 and 64272. The biggest common factor number is the GCF number.
So the greatest common factor 64256 and 64272 is 16.

Also check out the Least Common Multiple of 64256 and 64272