What is the Greatest Common Factor of 37110 and 37124?

Greatest common factor (GCF) of 37110 and 37124 is 2.

GCF(37110,37124) = 2

We will now calculate the prime factors of 37110 and 37124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37110 and 37124.

How to find the GCF of 37110 and 37124?

We will first find the prime factorization of 37110 and 37124. After we will calculate the factors of 37110 and 37124 and find the biggest common factor number .

Step-1: Prime Factorization of 37110

Prime factors of 37110 are 2, 3, 5, 1237. Prime factorization of 37110 in exponential form is:

37110 = 2¹ × 3¹ × 5¹ × 1237¹

Step-2: Prime Factorization of 37124

Prime factors of 37124 are 2, 9281. Prime factorization of 37124 in exponential form is:

37124 = 2² × 9281¹

Step-3: Factors of 37110

List of positive integer factors of 37110 that divides 37110 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1237, 2474, 3711, 6185, 7422, 12370, 18555

Step-4: Factors of 37124

List of positive integer factors of 37124 that divides 37110 without a remainder.

1, 2, 4, 9281, 18562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37110 and 37124. The biggest common factor number is the GCF number.
So the greatest common factor 37110 and 37124 is 2.

Also check out the Least Common Multiple of 37110 and 37124