What is the Greatest Common Factor of 75593 and 75607?

Greatest common factor (GCF) of 75593 and 75607 is 7.

GCF(75593,75607) = 7

We will now calculate the prime factors of 75593 and 75607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75593 and 75607.

How to find the GCF of 75593 and 75607?

We will first find the prime factorization of 75593 and 75607. After we will calculate the factors of 75593 and 75607 and find the biggest common factor number .

Step-1: Prime Factorization of 75593

Prime factors of 75593 are 7, 10799. Prime factorization of 75593 in exponential form is:

75593 = 7¹ × 10799¹

Step-2: Prime Factorization of 75607

Prime factors of 75607 are 7, 1543. Prime factorization of 75607 in exponential form is:

75607 = 7² × 1543¹

Step-3: Factors of 75593

List of positive integer factors of 75593 that divides 75593 without a remainder.

1, 7, 10799

Step-4: Factors of 75607

List of positive integer factors of 75607 that divides 75593 without a remainder.

1, 7, 49, 1543, 10801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75593 and 75607. The biggest common factor number is the GCF number.
So the greatest common factor 75593 and 75607 is 7.

Also check out the Least Common Multiple of 75593 and 75607