What is the Greatest Common Factor of 37524 and 37533?

Greatest common factor (GCF) of 37524 and 37533 is 3.

GCF(37524,37533) = 3

We will now calculate the prime factors of 37524 and 37533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37524 and 37533.

How to find the GCF of 37524 and 37533?

We will first find the prime factorization of 37524 and 37533. After we will calculate the factors of 37524 and 37533 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 37533

Prime factors of 37533 are 3, 12511. Prime factorization of 37533 in exponential form is:

37533 = 3¹ × 12511¹

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 37533

List of positive integer factors of 37533 that divides 37524 without a remainder.

1, 3, 12511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37524 and 37533. The biggest common factor number is the GCF number.
So the greatest common factor 37524 and 37533 is 3.

Also check out the Least Common Multiple of 37524 and 37533