What is the Greatest Common Factor of 7580 and 7590?

Greatest common factor (GCF) of 7580 and 7590 is 10.

GCF(7580,7590) = 10

We will now calculate the prime factors of 7580 and 7590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7580 and 7590.

How to find the GCF of 7580 and 7590?

We will first find the prime factorization of 7580 and 7590. After we will calculate the factors of 7580 and 7590 and find the biggest common factor number .

Step-1: Prime Factorization of 7580

Prime factors of 7580 are 2, 5, 379. Prime factorization of 7580 in exponential form is:

7580 = 2² × 5¹ × 379¹

Step-2: Prime Factorization of 7590

Prime factors of 7590 are 2, 3, 5, 11, 23. Prime factorization of 7590 in exponential form is:

7590 = 2¹ × 3¹ × 5¹ × 11¹ × 23¹

Step-3: Factors of 7580

List of positive integer factors of 7580 that divides 7580 without a remainder.

1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790

Step-4: Factors of 7590

List of positive integer factors of 7590 that divides 7580 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7580 and 7590. The biggest common factor number is the GCF number.
So the greatest common factor 7580 and 7590 is 10.

Also check out the Least Common Multiple of 7580 and 7590