What is the Greatest Common Factor of 7491 and 7507?

Greatest common factor (GCF) of 7491 and 7507 is 1.

GCF(7491,7507) = 1

We will now calculate the prime factors of 7491 and 7507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7491 and 7507.

How to find the GCF of 7491 and 7507?

We will first find the prime factorization of 7491 and 7507. After we will calculate the factors of 7491 and 7507 and find the biggest common factor number .

Step-1: Prime Factorization of 7491

Prime factors of 7491 are 3, 11, 227. Prime factorization of 7491 in exponential form is:

7491 = 3¹ × 11¹ × 227¹

Step-2: Prime Factorization of 7507

Prime factors of 7507 are 7507. Prime factorization of 7507 in exponential form is:

7507 = 7507¹

Step-3: Factors of 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1, 3, 11, 33, 227, 681, 2497

Step-4: Factors of 7507

List of positive integer factors of 7507 that divides 7491 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7491 and 7507. The biggest common factor number is the GCF number.
So the greatest common factor 7491 and 7507 is 1.

Also check out the Least Common Multiple of 7491 and 7507