What is the Greatest Common Factor of 56316 and 56335?

Greatest common factor (GCF) of 56316 and 56335 is 19.

GCF(56316,56335) = 19

We will now calculate the prime factors of 56316 and 56335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56316 and 56335.

How to find the GCF of 56316 and 56335?

We will first find the prime factorization of 56316 and 56335. After we will calculate the factors of 56316 and 56335 and find the biggest common factor number .

Step-1: Prime Factorization of 56316

Prime factors of 56316 are 2, 3, 13, 19. Prime factorization of 56316 in exponential form is:

56316 = 2² × 3¹ × 13¹ × 19²

Step-2: Prime Factorization of 56335

Prime factors of 56335 are 5, 19, 593. Prime factorization of 56335 in exponential form is:

56335 = 5¹ × 19¹ × 593¹

Step-3: Factors of 56316

List of positive integer factors of 56316 that divides 56316 without a remainder.

1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 361, 494, 722, 741, 988, 1083, 1444, 1482, 2166, 2964, 4332, 4693, 9386, 14079, 18772, 28158

Step-4: Factors of 56335

List of positive integer factors of 56335 that divides 56316 without a remainder.

1, 5, 19, 95, 593, 2965, 11267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56316 and 56335. The biggest common factor number is the GCF number.
So the greatest common factor 56316 and 56335 is 19.

Also check out the Least Common Multiple of 56316 and 56335