What is the Greatest Common Factor of 62256 and 62265?

Greatest common factor (GCF) of 62256 and 62265 is 3.

GCF(62256,62265) = 3

We will now calculate the prime factors of 62256 and 62265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62256 and 62265.

How to find the GCF of 62256 and 62265?

We will first find the prime factorization of 62256 and 62265. After we will calculate the factors of 62256 and 62265 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 62265

Prime factors of 62265 are 3, 5, 7, 593. Prime factorization of 62265 in exponential form is:

62265 = 3¹ × 5¹ × 7¹ × 593¹

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 62265

List of positive integer factors of 62265 that divides 62256 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 593, 1779, 2965, 4151, 8895, 12453, 20755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62256 and 62265. The biggest common factor number is the GCF number.
So the greatest common factor 62256 and 62265 is 3.

Also check out the Least Common Multiple of 62256 and 62265