What is the Greatest Common Factor of 57212 and 57226?

Greatest common factor (GCF) of 57212 and 57226 is 2.

GCF(57212,57226) = 2

We will now calculate the prime factors of 57212 and 57226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57212 and 57226.

How to find the GCF of 57212 and 57226?

We will first find the prime factorization of 57212 and 57226. After we will calculate the factors of 57212 and 57226 and find the biggest common factor number .

Step-1: Prime Factorization of 57212

Prime factors of 57212 are 2, 14303. Prime factorization of 57212 in exponential form is:

57212 = 2² × 14303¹

Step-2: Prime Factorization of 57226

Prime factors of 57226 are 2, 13, 31, 71. Prime factorization of 57226 in exponential form is:

57226 = 2¹ × 13¹ × 31¹ × 71¹

Step-3: Factors of 57212

List of positive integer factors of 57212 that divides 57212 without a remainder.

1, 2, 4, 14303, 28606

Step-4: Factors of 57226

List of positive integer factors of 57226 that divides 57212 without a remainder.

1, 2, 13, 26, 31, 62, 71, 142, 403, 806, 923, 1846, 2201, 4402, 28613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57212 and 57226. The biggest common factor number is the GCF number.
So the greatest common factor 57212 and 57226 is 2.

Also check out the Least Common Multiple of 57212 and 57226