What is the Greatest Common Factor of 7500 and 7508?

Greatest common factor (GCF) of 7500 and 7508 is 4.

GCF(7500,7508) = 4

We will now calculate the prime factors of 7500 and 7508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7500 and 7508.

How to find the GCF of 7500 and 7508?

We will first find the prime factorization of 7500 and 7508. After we will calculate the factors of 7500 and 7508 and find the biggest common factor number .

Step-1: Prime Factorization of 7500

Prime factors of 7500 are 2, 3, 5. Prime factorization of 7500 in exponential form is:

7500 = 2² × 3¹ × 5⁴

Step-2: Prime Factorization of 7508

Prime factors of 7508 are 2, 1877. Prime factorization of 7508 in exponential form is:

7508 = 2² × 1877¹

Step-3: Factors of 7500

List of positive integer factors of 7500 that divides 7500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750

Step-4: Factors of 7508

List of positive integer factors of 7508 that divides 7500 without a remainder.

1, 2, 4, 1877, 3754

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7500 and 7508. The biggest common factor number is the GCF number.
So the greatest common factor 7500 and 7508 is 4.

Also check out the Least Common Multiple of 7500 and 7508