What is the Greatest Common Factor of 62256 and 62272?

Greatest common factor (GCF) of 62256 and 62272 is 16.

GCF(62256,62272) = 16

We will now calculate the prime factors of 62256 and 62272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62256 and 62272.

How to find the GCF of 62256 and 62272?

We will first find the prime factorization of 62256 and 62272. After we will calculate the factors of 62256 and 62272 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 62272

Prime factors of 62272 are 2, 7, 139. Prime factorization of 62272 in exponential form is:

62272 = 2⁶ × 7¹ × 139¹

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 62272

List of positive integer factors of 62272 that divides 62256 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 139, 224, 278, 448, 556, 973, 1112, 1946, 2224, 3892, 4448, 7784, 8896, 15568, 31136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62256 and 62272. The biggest common factor number is the GCF number.
So the greatest common factor 62256 and 62272 is 16.

Also check out the Least Common Multiple of 62256 and 62272