What is the Greatest Common Factor of 37524 and 37539?

Greatest common factor (GCF) of 37524 and 37539 is 3.

GCF(37524,37539) = 3

We will now calculate the prime factors of 37524 and 37539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37524 and 37539.

How to find the GCF of 37524 and 37539?

We will first find the prime factorization of 37524 and 37539. After we will calculate the factors of 37524 and 37539 and find the biggest common factor number .

Step-1: Prime Factorization of 37524

Prime factors of 37524 are 2, 3, 53, 59. Prime factorization of 37524 in exponential form is:

37524 = 2² × 3¹ × 53¹ × 59¹

Step-2: Prime Factorization of 37539

Prime factors of 37539 are 3, 43, 97. Prime factorization of 37539 in exponential form is:

37539 = 3² × 43¹ × 97¹

Step-3: Factors of 37524

List of positive integer factors of 37524 that divides 37524 without a remainder.

1, 2, 3, 4, 6, 12, 53, 59, 106, 118, 159, 177, 212, 236, 318, 354, 636, 708, 3127, 6254, 9381, 12508, 18762

Step-4: Factors of 37539

List of positive integer factors of 37539 that divides 37524 without a remainder.

1, 3, 9, 43, 97, 129, 291, 387, 873, 4171, 12513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37524 and 37539. The biggest common factor number is the GCF number.
So the greatest common factor 37524 and 37539 is 3.

Also check out the Least Common Multiple of 37524 and 37539