What is the Greatest Common Factor of 37256 and 37262?

Greatest common factor (GCF) of 37256 and 37262 is 2.

GCF(37256,37262) = 2

We will now calculate the prime factors of 37256 and 37262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37256 and 37262.

How to find the GCF of 37256 and 37262?

We will first find the prime factorization of 37256 and 37262. After we will calculate the factors of 37256 and 37262 and find the biggest common factor number .

Step-1: Prime Factorization of 37256

Prime factors of 37256 are 2, 4657. Prime factorization of 37256 in exponential form is:

37256 = 2³ × 4657¹

Step-2: Prime Factorization of 37262

Prime factors of 37262 are 2, 31, 601. Prime factorization of 37262 in exponential form is:

37262 = 2¹ × 31¹ × 601¹

Step-3: Factors of 37256

List of positive integer factors of 37256 that divides 37256 without a remainder.

1, 2, 4, 8, 4657, 9314, 18628

Step-4: Factors of 37262

List of positive integer factors of 37262 that divides 37256 without a remainder.

1, 2, 31, 62, 601, 1202, 18631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37256 and 37262. The biggest common factor number is the GCF number.
So the greatest common factor 37256 and 37262 is 2.

Also check out the Least Common Multiple of 37256 and 37262