What is the Greatest Common Factor of 56303 and 56316?

Greatest common factor (GCF) of 56303 and 56316 is 13.

GCF(56303,56316) = 13

We will now calculate the prime factors of 56303 and 56316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56303 and 56316.

How to find the GCF of 56303 and 56316?

We will first find the prime factorization of 56303 and 56316. After we will calculate the factors of 56303 and 56316 and find the biggest common factor number .

Step-1: Prime Factorization of 56303

Prime factors of 56303 are 13, 61, 71. Prime factorization of 56303 in exponential form is:

56303 = 13¹ × 61¹ × 71¹

Step-2: 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-3: Factors of 56303

List of positive integer factors of 56303 that divides 56303 without a remainder.

1, 13, 61, 71, 793, 923, 4331

Step-4: Factors of 56316

List of positive integer factors of 56316 that divides 56303 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56303 and 56316. The biggest common factor number is the GCF number.
So the greatest common factor 56303 and 56316 is 13.

Also check out the Least Common Multiple of 56303 and 56316