What is the Greatest Common Factor of 7538 and 7557?

Greatest common factor (GCF) of 7538 and 7557 is 1.

GCF(7538,7557) = 1

We will now calculate the prime factors of 7538 and 7557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7538 and 7557.

How to find the GCF of 7538 and 7557?

We will first find the prime factorization of 7538 and 7557. After we will calculate the factors of 7538 and 7557 and find the biggest common factor number .

Step-1: Prime Factorization of 7538

Prime factors of 7538 are 2, 3769. Prime factorization of 7538 in exponential form is:

7538 = 2¹ × 3769¹

Step-2: Prime Factorization of 7557

Prime factors of 7557 are 3, 11, 229. Prime factorization of 7557 in exponential form is:

7557 = 3¹ × 11¹ × 229¹

Step-3: Factors of 7538

List of positive integer factors of 7538 that divides 7538 without a remainder.

1, 2, 3769

Step-4: Factors of 7557

List of positive integer factors of 7557 that divides 7538 without a remainder.

1, 3, 11, 33, 229, 687, 2519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7538 and 7557. The biggest common factor number is the GCF number.
So the greatest common factor 7538 and 7557 is 1.

Also check out the Least Common Multiple of 7538 and 7557