What is the Greatest Common Factor of 37258 and 37272?

Greatest common factor (GCF) of 37258 and 37272 is 2.

GCF(37258,37272) = 2

We will now calculate the prime factors of 37258 and 37272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37258 and 37272.

How to find the GCF of 37258 and 37272?

We will first find the prime factorization of 37258 and 37272. After we will calculate the factors of 37258 and 37272 and find the biggest common factor number .

Step-1: Prime Factorization of 37258

Prime factors of 37258 are 2, 13, 1433. Prime factorization of 37258 in exponential form is:

37258 = 2¹ × 13¹ × 1433¹

Step-2: Prime Factorization of 37272

Prime factors of 37272 are 2, 3, 1553. Prime factorization of 37272 in exponential form is:

37272 = 2³ × 3¹ × 1553¹

Step-3: Factors of 37258

List of positive integer factors of 37258 that divides 37258 without a remainder.

1, 2, 13, 26, 1433, 2866, 18629

Step-4: Factors of 37272

List of positive integer factors of 37272 that divides 37258 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1553, 3106, 4659, 6212, 9318, 12424, 18636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37258 and 37272. The biggest common factor number is the GCF number.
So the greatest common factor 37258 and 37272 is 2.

Also check out the Least Common Multiple of 37258 and 37272