What is the Greatest Common Factor of 1580 and 7110?

Greatest common factor (GCF) of 1580 and 7110 is 790.

GCF(1580,7110) = 790

We will now calculate the prime factors of 1580 and 7110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1580 and 7110.

How to find the GCF of 1580 and 7110?

We will first find the prime factorization of 1580 and 7110. After we will calculate the factors of 1580 and 7110 and find the biggest common factor number .

Step-1: Prime Factorization of 1580

Prime factors of 1580 are 2, 5, 79. Prime factorization of 1580 in exponential form is:

1580 = 2² × 5¹ × 79¹

Step-2: Prime Factorization of 7110

Prime factors of 7110 are 2, 3, 5, 79. Prime factorization of 7110 in exponential form is:

7110 = 2¹ × 3² × 5¹ × 79¹

Step-3: Factors of 1580

List of positive integer factors of 1580 that divides 1580 without a remainder.

1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790

Step-4: Factors of 7110

List of positive integer factors of 7110 that divides 1580 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1580 and 7110. The biggest common factor number is the GCF number.
So the greatest common factor 1580 and 7110 is 790.

Also check out the Least Common Multiple of 1580 and 7110