What is the Greatest Common Factor of 7588 and 7607?

Greatest common factor (GCF) of 7588 and 7607 is 1.

GCF(7588,7607) = 1

We will now calculate the prime factors of 7588 and 7607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7588 and 7607.

How to find the GCF of 7588 and 7607?

We will first find the prime factorization of 7588 and 7607. After we will calculate the factors of 7588 and 7607 and find the biggest common factor number .

Step-1: Prime Factorization of 7588

Prime factors of 7588 are 2, 7, 271. Prime factorization of 7588 in exponential form is:

7588 = 2² × 7¹ × 271¹

Step-2: Prime Factorization of 7607

Prime factors of 7607 are 7607. Prime factorization of 7607 in exponential form is:

7607 = 7607¹

Step-3: Factors of 7588

List of positive integer factors of 7588 that divides 7588 without a remainder.

1, 2, 4, 7, 14, 28, 271, 542, 1084, 1897, 3794

Step-4: Factors of 7607

List of positive integer factors of 7607 that divides 7588 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7588 and 7607. The biggest common factor number is the GCF number.
So the greatest common factor 7588 and 7607 is 1.

Also check out the Least Common Multiple of 7588 and 7607