What is the Greatest Common Factor of 74575 and 74593?

Greatest common factor (GCF) of 74575 and 74593 is 1.

GCF(74575,74593) = 1

We will now calculate the prime factors of 74575 and 74593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74575 and 74593.

How to find the GCF of 74575 and 74593?

We will first find the prime factorization of 74575 and 74593. After we will calculate the factors of 74575 and 74593 and find the biggest common factor number .

Step-1: Prime Factorization of 74575

Prime factors of 74575 are 5, 19, 157. Prime factorization of 74575 in exponential form is:

74575 = 5² × 19¹ × 157¹

Step-2: Prime Factorization of 74593

Prime factors of 74593 are 97, 769. Prime factorization of 74593 in exponential form is:

74593 = 97¹ × 769¹

Step-3: Factors of 74575

List of positive integer factors of 74575 that divides 74575 without a remainder.

1, 5, 19, 25, 95, 157, 475, 785, 2983, 3925, 14915

Step-4: Factors of 74593

List of positive integer factors of 74593 that divides 74575 without a remainder.

1, 97, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74575 and 74593. The biggest common factor number is the GCF number.
So the greatest common factor 74575 and 74593 is 1.

Also check out the Least Common Multiple of 74575 and 74593