What is the Greatest Common Factor of 37751 and 37764?

Greatest common factor (GCF) of 37751 and 37764 is 1.

GCF(37751,37764) = 1

We will now calculate the prime factors of 37751 and 37764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37751 and 37764.

How to find the GCF of 37751 and 37764?

We will first find the prime factorization of 37751 and 37764. After we will calculate the factors of 37751 and 37764 and find the biggest common factor number .

Step-1: Prime Factorization of 37751

Prime factors of 37751 are 7, 5393. Prime factorization of 37751 in exponential form is:

37751 = 7¹ × 5393¹

Step-2: Prime Factorization of 37764

Prime factors of 37764 are 2, 3, 1049. Prime factorization of 37764 in exponential form is:

37764 = 2² × 3² × 1049¹

Step-3: Factors of 37751

List of positive integer factors of 37751 that divides 37751 without a remainder.

1, 7, 5393

Step-4: Factors of 37764

List of positive integer factors of 37764 that divides 37751 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1049, 2098, 3147, 4196, 6294, 9441, 12588, 18882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37751 and 37764. The biggest common factor number is the GCF number.
So the greatest common factor 37751 and 37764 is 1.

Also check out the Least Common Multiple of 37751 and 37764