What is the Greatest Common Factor of 7588 and 7604?

Greatest common factor (GCF) of 7588 and 7604 is 4.

GCF(7588,7604) = 4

We will now calculate the prime factors of 7588 and 7604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7588 and 7604.

How to find the GCF of 7588 and 7604?

We will first find the prime factorization of 7588 and 7604. After we will calculate the factors of 7588 and 7604 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 7604

Prime factors of 7604 are 2, 1901. Prime factorization of 7604 in exponential form is:

7604 = 2² × 1901¹

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 7604

List of positive integer factors of 7604 that divides 7588 without a remainder.

1, 2, 4, 1901, 3802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7588 and 7604. The biggest common factor number is the GCF number.
So the greatest common factor 7588 and 7604 is 4.

Also check out the Least Common Multiple of 7588 and 7604