What is the Greatest Common Factor of 37898 and 37912?

Greatest common factor (GCF) of 37898 and 37912 is 14.

GCF(37898,37912) = 14

We will now calculate the prime factors of 37898 and 37912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37898 and 37912.

How to find the GCF of 37898 and 37912?

We will first find the prime factorization of 37898 and 37912. After we will calculate the factors of 37898 and 37912 and find the biggest common factor number .

Step-1: Prime Factorization of 37898

Prime factors of 37898 are 2, 7, 2707. Prime factorization of 37898 in exponential form is:

37898 = 2¹ × 7¹ × 2707¹

Step-2: Prime Factorization of 37912

Prime factors of 37912 are 2, 7, 677. Prime factorization of 37912 in exponential form is:

37912 = 2³ × 7¹ × 677¹

Step-3: Factors of 37898

List of positive integer factors of 37898 that divides 37898 without a remainder.

1, 2, 7, 14, 2707, 5414, 18949

Step-4: Factors of 37912

List of positive integer factors of 37912 that divides 37898 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 677, 1354, 2708, 4739, 5416, 9478, 18956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37898 and 37912. The biggest common factor number is the GCF number.
So the greatest common factor 37898 and 37912 is 14.

Also check out the Least Common Multiple of 37898 and 37912