What is the Greatest Common Factor of 53158 and 53172?

Greatest common factor (GCF) of 53158 and 53172 is 14.

GCF(53158,53172) = 14

We will now calculate the prime factors of 53158 and 53172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53158 and 53172.

How to find the GCF of 53158 and 53172?

We will first find the prime factorization of 53158 and 53172. After we will calculate the factors of 53158 and 53172 and find the biggest common factor number .

Step-1: Prime Factorization of 53158

Prime factors of 53158 are 2, 7, 3797. Prime factorization of 53158 in exponential form is:

53158 = 2¹ × 7¹ × 3797¹

Step-2: Prime Factorization of 53172

Prime factors of 53172 are 2, 3, 7, 211. Prime factorization of 53172 in exponential form is:

53172 = 2² × 3² × 7¹ × 211¹

Step-3: Factors of 53158

List of positive integer factors of 53158 that divides 53158 without a remainder.

1, 2, 7, 14, 3797, 7594, 26579

Step-4: Factors of 53172

List of positive integer factors of 53172 that divides 53158 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 211, 252, 422, 633, 844, 1266, 1477, 1899, 2532, 2954, 3798, 4431, 5908, 7596, 8862, 13293, 17724, 26586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53158 and 53172. The biggest common factor number is the GCF number.
So the greatest common factor 53158 and 53172 is 14.

Also check out the Least Common Multiple of 53158 and 53172