What is the Greatest Common Factor of 7500 and 7519?

Greatest common factor (GCF) of 7500 and 7519 is 1.

GCF(7500,7519) = 1

We will now calculate the prime factors of 7500 and 7519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7500 and 7519.

How to find the GCF of 7500 and 7519?

We will first find the prime factorization of 7500 and 7519. After we will calculate the factors of 7500 and 7519 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 7519

Prime factors of 7519 are 73, 103. Prime factorization of 7519 in exponential form is:

7519 = 73¹ × 103¹

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 7519

List of positive integer factors of 7519 that divides 7500 without a remainder.

1, 73, 103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7500 and 7519. The biggest common factor number is the GCF number.
So the greatest common factor 7500 and 7519 is 1.

Also check out the Least Common Multiple of 7500 and 7519