What is the Greatest Common Factor of 7495 and 7500?

Greatest common factor (GCF) of 7495 and 7500 is 5.

GCF(7495,7500) = 5

We will now calculate the prime factors of 7495 and 7500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7495 and 7500.

How to find the GCF of 7495 and 7500?

We will first find the prime factorization of 7495 and 7500. After we will calculate the factors of 7495 and 7500 and find the biggest common factor number .

Step-1: Prime Factorization of 7495

Prime factors of 7495 are 5, 1499. Prime factorization of 7495 in exponential form is:

7495 = 5¹ × 1499¹

Step-2: 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-3: Factors of 7495

List of positive integer factors of 7495 that divides 7495 without a remainder.

1, 5, 1499

Step-4: Factors of 7500

List of positive integer factors of 7500 that divides 7495 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7495 and 7500. The biggest common factor number is the GCF number.
So the greatest common factor 7495 and 7500 is 5.

Also check out the Least Common Multiple of 7495 and 7500