What is the Greatest Common Factor of 37857 and 37877?

Greatest common factor (GCF) of 37857 and 37877 is 1.

GCF(37857,37877) = 1

We will now calculate the prime factors of 37857 and 37877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37857 and 37877.

How to find the GCF of 37857 and 37877?

We will first find the prime factorization of 37857 and 37877. After we will calculate the factors of 37857 and 37877 and find the biggest common factor number .

Step-1: Prime Factorization of 37857

Prime factors of 37857 are 3, 12619. Prime factorization of 37857 in exponential form is:

37857 = 3¹ × 12619¹

Step-2: Prime Factorization of 37877

Prime factors of 37877 are 7, 773. Prime factorization of 37877 in exponential form is:

37877 = 7² × 773¹

Step-3: Factors of 37857

List of positive integer factors of 37857 that divides 37857 without a remainder.

1, 3, 12619

Step-4: Factors of 37877

List of positive integer factors of 37877 that divides 37857 without a remainder.

1, 7, 49, 773, 5411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37857 and 37877. The biggest common factor number is the GCF number.
So the greatest common factor 37857 and 37877 is 1.

Also check out the Least Common Multiple of 37857 and 37877