What is the Greatest Common Factor of 37583 and 37593?

Greatest common factor (GCF) of 37583 and 37593 is 1.

GCF(37583,37593) = 1

We will now calculate the prime factors of 37583 and 37593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37583 and 37593.

How to find the GCF of 37583 and 37593?

We will first find the prime factorization of 37583 and 37593. After we will calculate the factors of 37583 and 37593 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 37593

Prime factors of 37593 are 3, 4177. Prime factorization of 37593 in exponential form is:

37593 = 3² × 4177¹

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 37593

List of positive integer factors of 37593 that divides 37583 without a remainder.

1, 3, 9, 4177, 12531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37583 and 37593. The biggest common factor number is the GCF number.
So the greatest common factor 37583 and 37593 is 1.

Also check out the Least Common Multiple of 37583 and 37593