What is the Greatest Common Factor of 37583 and 37599?

Greatest common factor (GCF) of 37583 and 37599 is 1.

GCF(37583,37599) = 1

We will now calculate the prime factors of 37583 and 37599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37583 and 37599.

How to find the GCF of 37583 and 37599?

We will first find the prime factorization of 37583 and 37599. After we will calculate the factors of 37583 and 37599 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 37599

Prime factors of 37599 are 3, 83, 151. Prime factorization of 37599 in exponential form is:

37599 = 3¹ × 83¹ × 151¹

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 37599

List of positive integer factors of 37599 that divides 37583 without a remainder.

1, 3, 83, 151, 249, 453, 12533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37583 and 37599. The biggest common factor number is the GCF number.
So the greatest common factor 37583 and 37599 is 1.

Also check out the Least Common Multiple of 37583 and 37599