What is the Greatest Common Factor of 62256 and 62264?

Greatest common factor (GCF) of 62256 and 62264 is 8.

GCF(62256,62264) = 8

We will now calculate the prime factors of 62256 and 62264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62256 and 62264.

How to find the GCF of 62256 and 62264?

We will first find the prime factorization of 62256 and 62264. After we will calculate the factors of 62256 and 62264 and find the biggest common factor number .

Step-1: Prime Factorization of 62256

Prime factors of 62256 are 2, 3, 1297. Prime factorization of 62256 in exponential form is:

62256 = 2⁴ × 3¹ × 1297¹

Step-2: Prime Factorization of 62264

Prime factors of 62264 are 2, 43, 181. Prime factorization of 62264 in exponential form is:

62264 = 2³ × 43¹ × 181¹

Step-3: Factors of 62256

List of positive integer factors of 62256 that divides 62256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1297, 2594, 3891, 5188, 7782, 10376, 15564, 20752, 31128

Step-4: Factors of 62264

List of positive integer factors of 62264 that divides 62256 without a remainder.

1, 2, 4, 8, 43, 86, 172, 181, 344, 362, 724, 1448, 7783, 15566, 31132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62256 and 62264. The biggest common factor number is the GCF number.
So the greatest common factor 62256 and 62264 is 8.

Also check out the Least Common Multiple of 62256 and 62264