What is the Greatest Common Factor of 37524 and 37544?

Greatest common factor (GCF) of 37524 and 37544 is 4.

GCF(37524,37544) = 4

We will now calculate the prime factors of 37524 and 37544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37524 and 37544.

How to find the GCF of 37524 and 37544?

We will first find the prime factorization of 37524 and 37544. After we will calculate the factors of 37524 and 37544 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 37544

Prime factors of 37544 are 2, 13, 19. Prime factorization of 37544 in exponential form is:

37544 = 2³ × 13¹ × 19²

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 37544

List of positive integer factors of 37544 that divides 37524 without a remainder.

1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 361, 494, 722, 988, 1444, 1976, 2888, 4693, 9386, 18772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37524 and 37544. The biggest common factor number is the GCF number.
So the greatest common factor 37524 and 37544 is 4.

Also check out the Least Common Multiple of 37524 and 37544