What is the Greatest Common Factor of 37583 and 37596?

Greatest common factor (GCF) of 37583 and 37596 is 13.

GCF(37583,37596) = 13

We will now calculate the prime factors of 37583 and 37596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37583 and 37596.

How to find the GCF of 37583 and 37596?

We will first find the prime factorization of 37583 and 37596. After we will calculate the factors of 37583 and 37596 and find the biggest common factor number .

Step-1: Prime Factorization of 37583

Prime factors of 37583 are 7, 13, 59. Prime factorization of 37583 in exponential form is:

37583 = 7² × 13¹ × 59¹

Step-2: Prime Factorization of 37596

Prime factors of 37596 are 2, 3, 13, 241. Prime factorization of 37596 in exponential form is:

37596 = 2² × 3¹ × 13¹ × 241¹

Step-3: Factors of 37583

List of positive integer factors of 37583 that divides 37583 without a remainder.

1, 7, 13, 49, 59, 91, 413, 637, 767, 2891, 5369

Step-4: Factors of 37596

List of positive integer factors of 37596 that divides 37583 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 241, 482, 723, 964, 1446, 2892, 3133, 6266, 9399, 12532, 18798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37583 and 37596. The biggest common factor number is the GCF number.
So the greatest common factor 37583 and 37596 is 13.

Also check out the Least Common Multiple of 37583 and 37596