What is the Greatest Common Factor of 37524 and 37532?

Greatest common factor (GCF) of 37524 and 37532 is 4.

GCF(37524,37532) = 4

We will now calculate the prime factors of 37524 and 37532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37524 and 37532.

How to find the GCF of 37524 and 37532?

We will first find the prime factorization of 37524 and 37532. After we will calculate the factors of 37524 and 37532 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 37532

Prime factors of 37532 are 2, 11, 853. Prime factorization of 37532 in exponential form is:

37532 = 2² × 11¹ × 853¹

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 37532

List of positive integer factors of 37532 that divides 37524 without a remainder.

1, 2, 4, 11, 22, 44, 853, 1706, 3412, 9383, 18766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37524 and 37532. The biggest common factor number is the GCF number.
So the greatest common factor 37524 and 37532 is 4.

Also check out the Least Common Multiple of 37524 and 37532