What is the Greatest Common Factor of 57258 and 57272?

Greatest common factor (GCF) of 57258 and 57272 is 2.

GCF(57258,57272) = 2

We will now calculate the prime factors of 57258 and 57272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57258 and 57272.

How to find the GCF of 57258 and 57272?

We will first find the prime factorization of 57258 and 57272. After we will calculate the factors of 57258 and 57272 and find the biggest common factor number .

Step-1: Prime Factorization of 57258

Prime factors of 57258 are 2, 3, 3181. Prime factorization of 57258 in exponential form is:

57258 = 2¹ × 3² × 3181¹

Step-2: Prime Factorization of 57272

Prime factors of 57272 are 2, 7159. Prime factorization of 57272 in exponential form is:

57272 = 2³ × 7159¹

Step-3: Factors of 57258

List of positive integer factors of 57258 that divides 57258 without a remainder.

1, 2, 3, 6, 9, 18, 3181, 6362, 9543, 19086, 28629

Step-4: Factors of 57272

List of positive integer factors of 57272 that divides 57258 without a remainder.

1, 2, 4, 8, 7159, 14318, 28636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57258 and 57272. The biggest common factor number is the GCF number.
So the greatest common factor 57258 and 57272 is 2.

Also check out the Least Common Multiple of 57258 and 57272