What is the Greatest Common Factor of 37525 and 37544?

Greatest common factor (GCF) of 37525 and 37544 is 19.

GCF(37525,37544) = 19

We will now calculate the prime factors of 37525 and 37544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37525 and 37544.

How to find the GCF of 37525 and 37544?

We will first find the prime factorization of 37525 and 37544. After we will calculate the factors of 37525 and 37544 and find the biggest common factor number .

Step-1: Prime Factorization of 37525

Prime factors of 37525 are 5, 19, 79. Prime factorization of 37525 in exponential form is:

37525 = 5² × 19¹ × 79¹

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 37525

List of positive integer factors of 37525 that divides 37525 without a remainder.

1, 5, 19, 25, 79, 95, 395, 475, 1501, 1975, 7505

Step-4: Factors of 37544

List of positive integer factors of 37544 that divides 37525 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 37525 and 37544. The biggest common factor number is the GCF number.
So the greatest common factor 37525 and 37544 is 19.

Also check out the Least Common Multiple of 37525 and 37544