What is the Greatest Common Factor of 37114 and 37125?

Greatest common factor (GCF) of 37114 and 37125 is 11.

GCF(37114,37125) = 11

We will now calculate the prime factors of 37114 and 37125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37114 and 37125.

How to find the GCF of 37114 and 37125?

We will first find the prime factorization of 37114 and 37125. After we will calculate the factors of 37114 and 37125 and find the biggest common factor number .

Step-1: Prime Factorization of 37114

Prime factors of 37114 are 2, 7, 11, 241. Prime factorization of 37114 in exponential form is:

37114 = 2¹ × 7¹ × 11¹ × 241¹

Step-2: Prime Factorization of 37125

Prime factors of 37125 are 3, 5, 11. Prime factorization of 37125 in exponential form is:

37125 = 3³ × 5³ × 11¹

Step-3: Factors of 37114

List of positive integer factors of 37114 that divides 37114 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 241, 482, 1687, 2651, 3374, 5302, 18557

Step-4: Factors of 37125

List of positive integer factors of 37125 that divides 37114 without a remainder.

1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 125, 135, 165, 225, 275, 297, 375, 495, 675, 825, 1125, 1375, 1485, 2475, 3375, 4125, 7425, 12375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37114 and 37125. The biggest common factor number is the GCF number.
So the greatest common factor 37114 and 37125 is 11.

Also check out the Least Common Multiple of 37114 and 37125