What is the Greatest Common Factor of 54164 and 54172?

Greatest common factor (GCF) of 54164 and 54172 is 4.

GCF(54164,54172) = 4

We will now calculate the prime factors of 54164 and 54172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54164 and 54172.

How to find the GCF of 54164 and 54172?

We will first find the prime factorization of 54164 and 54172. After we will calculate the factors of 54164 and 54172 and find the biggest common factor number .

Step-1: Prime Factorization of 54164

Prime factors of 54164 are 2, 11, 1231. Prime factorization of 54164 in exponential form is:

54164 = 2² × 11¹ × 1231¹

Step-2: Prime Factorization of 54172

Prime factors of 54172 are 2, 29, 467. Prime factorization of 54172 in exponential form is:

54172 = 2² × 29¹ × 467¹

Step-3: Factors of 54164

List of positive integer factors of 54164 that divides 54164 without a remainder.

1, 2, 4, 11, 22, 44, 1231, 2462, 4924, 13541, 27082

Step-4: Factors of 54172

List of positive integer factors of 54172 that divides 54164 without a remainder.

1, 2, 4, 29, 58, 116, 467, 934, 1868, 13543, 27086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54164 and 54172. The biggest common factor number is the GCF number.
So the greatest common factor 54164 and 54172 is 4.

Also check out the Least Common Multiple of 54164 and 54172