What is the Greatest Common Factor of 37887 and 37896?

Greatest common factor (GCF) of 37887 and 37896 is 3.

GCF(37887,37896) = 3

We will now calculate the prime factors of 37887 and 37896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37887 and 37896.

How to find the GCF of 37887 and 37896?

We will first find the prime factorization of 37887 and 37896. After we will calculate the factors of 37887 and 37896 and find the biggest common factor number .

Step-1: Prime Factorization of 37887

Prime factors of 37887 are 3, 73, 173. Prime factorization of 37887 in exponential form is:

37887 = 3¹ × 73¹ × 173¹

Step-2: Prime Factorization of 37896

Prime factors of 37896 are 2, 3, 1579. Prime factorization of 37896 in exponential form is:

37896 = 2³ × 3¹ × 1579¹

Step-3: Factors of 37887

List of positive integer factors of 37887 that divides 37887 without a remainder.

1, 3, 73, 173, 219, 519, 12629

Step-4: Factors of 37896

List of positive integer factors of 37896 that divides 37887 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1579, 3158, 4737, 6316, 9474, 12632, 18948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37887 and 37896. The biggest common factor number is the GCF number.
So the greatest common factor 37887 and 37896 is 3.

Also check out the Least Common Multiple of 37887 and 37896