What is the Greatest Common Factor of 7588 and 7602?

Greatest common factor (GCF) of 7588 and 7602 is 14.

GCF(7588,7602) = 14

We will now calculate the prime factors of 7588 and 7602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7588 and 7602.

How to find the GCF of 7588 and 7602?

We will first find the prime factorization of 7588 and 7602. After we will calculate the factors of 7588 and 7602 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 7602

Prime factors of 7602 are 2, 3, 7, 181. Prime factorization of 7602 in exponential form is:

7602 = 2¹ × 3¹ × 7¹ × 181¹

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 7602

List of positive integer factors of 7602 that divides 7588 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 181, 362, 543, 1086, 1267, 2534, 3801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7588 and 7602. The biggest common factor number is the GCF number.
So the greatest common factor 7588 and 7602 is 14.

Also check out the Least Common Multiple of 7588 and 7602