What is the Greatest Common Factor of 7590 and 7608?

Greatest common factor (GCF) of 7590 and 7608 is 6.

GCF(7590,7608) = 6

We will now calculate the prime factors of 7590 and 7608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7590 and 7608.

How to find the GCF of 7590 and 7608?

We will first find the prime factorization of 7590 and 7608. After we will calculate the factors of 7590 and 7608 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7608

Prime factors of 7608 are 2, 3, 317. Prime factorization of 7608 in exponential form is:

7608 = 2³ × 3¹ × 317¹

Step-3: Factors of 7590

List of positive integer factors of 7590 that divides 7590 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

Step-4: Factors of 7608

List of positive integer factors of 7608 that divides 7590 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7590 and 7608. The biggest common factor number is the GCF number.
So the greatest common factor 7590 and 7608 is 6.

Also check out the Least Common Multiple of 7590 and 7608