What is the Greatest Common Factor of 62256 and 62268?

Greatest common factor (GCF) of 62256 and 62268 is 12.

GCF(62256,62268) = 12

We will now calculate the prime factors of 62256 and 62268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62256 and 62268.

How to find the GCF of 62256 and 62268?

We will first find the prime factorization of 62256 and 62268. After we will calculate the factors of 62256 and 62268 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 62268

Prime factors of 62268 are 2, 3, 5189. Prime factorization of 62268 in exponential form is:

62268 = 2² × 3¹ × 5189¹

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 62268

List of positive integer factors of 62268 that divides 62256 without a remainder.

1, 2, 3, 4, 6, 12, 5189, 10378, 15567, 20756, 31134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62256 and 62268. The biggest common factor number is the GCF number.
So the greatest common factor 62256 and 62268 is 12.

Also check out the Least Common Multiple of 62256 and 62268