What is the Greatest Common Factor of 7489 and 7501?

Greatest common factor (GCF) of 7489 and 7501 is 1.

GCF(7489,7501) = 1

We will now calculate the prime factors of 7489 and 7501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7489 and 7501.

How to find the GCF of 7489 and 7501?

We will first find the prime factorization of 7489 and 7501. After we will calculate the factors of 7489 and 7501 and find the biggest common factor number .

Step-1: Prime Factorization of 7489

Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:

7489 = 7489¹

Step-2: Prime Factorization of 7501

Prime factors of 7501 are 13, 577. Prime factorization of 7501 in exponential form is:

7501 = 13¹ × 577¹

Step-3: Factors of 7489

List of positive integer factors of 7489 that divides 7489 without a remainder.

Step-4: Factors of 7501

List of positive integer factors of 7501 that divides 7489 without a remainder.

1, 13, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7489 and 7501. The biggest common factor number is the GCF number.
So the greatest common factor 7489 and 7501 is 1.

Also check out the Least Common Multiple of 7489 and 7501