What is the Greatest Common Factor of 57226 and 57238?

Greatest common factor (GCF) of 57226 and 57238 is 2.

GCF(57226,57238) = 2

We will now calculate the prime factors of 57226 and 57238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57226 and 57238.

How to find the GCF of 57226 and 57238?

We will first find the prime factorization of 57226 and 57238. After we will calculate the factors of 57226 and 57238 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57238

Prime factors of 57238 are 2, 28619. Prime factorization of 57238 in exponential form is:

57238 = 2¹ × 28619¹

Step-3: Factors of 57226

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

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

Step-4: Factors of 57238

List of positive integer factors of 57238 that divides 57226 without a remainder.

1, 2, 28619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57226 and 57238. The biggest common factor number is the GCF number.
So the greatest common factor 57226 and 57238 is 2.

Also check out the Least Common Multiple of 57226 and 57238