What is the Greatest Common Factor of 53154 and 53172?

Greatest common factor (GCF) of 53154 and 53172 is 18.

GCF(53154,53172) = 18

We will now calculate the prime factors of 53154 and 53172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53154 and 53172.

How to find the GCF of 53154 and 53172?

We will first find the prime factorization of 53154 and 53172. After we will calculate the factors of 53154 and 53172 and find the biggest common factor number .

Step-1: Prime Factorization of 53154

Prime factors of 53154 are 2, 3, 2953. Prime factorization of 53154 in exponential form is:

53154 = 2¹ × 3² × 2953¹

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 53154

List of positive integer factors of 53154 that divides 53154 without a remainder.

1, 2, 3, 6, 9, 18, 2953, 5906, 8859, 17718, 26577

Step-4: Factors of 53172

List of positive integer factors of 53172 that divides 53154 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 53154 and 53172. The biggest common factor number is the GCF number.
So the greatest common factor 53154 and 53172 is 18.

Also check out the Least Common Multiple of 53154 and 53172