What is the Greatest Common Factor of 37524 and 37530?

Greatest common factor (GCF) of 37524 and 37530 is 6.

GCF(37524,37530) = 6

We will now calculate the prime factors of 37524 and 37530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37524 and 37530.

How to find the GCF of 37524 and 37530?

We will first find the prime factorization of 37524 and 37530. After we will calculate the factors of 37524 and 37530 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 37530

Prime factors of 37530 are 2, 3, 5, 139. Prime factorization of 37530 in exponential form is:

37530 = 2¹ × 3³ × 5¹ × 139¹

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 37530

List of positive integer factors of 37530 that divides 37524 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 139, 270, 278, 417, 695, 834, 1251, 1390, 2085, 2502, 3753, 4170, 6255, 7506, 12510, 18765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37524 and 37530. The biggest common factor number is the GCF number.
So the greatest common factor 37524 and 37530 is 6.

Also check out the Least Common Multiple of 37524 and 37530