What is the Greatest Common Factor of 37110 and 37125?

Greatest common factor (GCF) of 37110 and 37125 is 15.

GCF(37110,37125) = 15

We will now calculate the prime factors of 37110 and 37125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37110 and 37125.

How to find the GCF of 37110 and 37125?

We will first find the prime factorization of 37110 and 37125. After we will calculate the factors of 37110 and 37125 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 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 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 37125

List of positive integer factors of 37125 that divides 37110 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 37110 and 37125. The biggest common factor number is the GCF number.
So the greatest common factor 37110 and 37125 is 15.

Also check out the Least Common Multiple of 37110 and 37125