What is the Greatest Common Factor of 71160 and 71180?

Greatest common factor (GCF) of 71160 and 71180 is 20.

GCF(71160,71180) = 20

We will now calculate the prime factors of 71160 and 71180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71160 and 71180.

How to find the GCF of 71160 and 71180?

We will first find the prime factorization of 71160 and 71180. After we will calculate the factors of 71160 and 71180 and find the biggest common factor number .

Step-1: Prime Factorization of 71160

Prime factors of 71160 are 2, 3, 5, 593. Prime factorization of 71160 in exponential form is:

71160 = 2³ × 3¹ × 5¹ × 593¹

Step-2: Prime Factorization of 71180

Prime factors of 71180 are 2, 5, 3559. Prime factorization of 71180 in exponential form is:

71180 = 2² × 5¹ × 3559¹

Step-3: Factors of 71160

List of positive integer factors of 71160 that divides 71160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 593, 1186, 1779, 2372, 2965, 3558, 4744, 5930, 7116, 8895, 11860, 14232, 17790, 23720, 35580

Step-4: Factors of 71180

List of positive integer factors of 71180 that divides 71160 without a remainder.

1, 2, 4, 5, 10, 20, 3559, 7118, 14236, 17795, 35590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71160 and 71180. The biggest common factor number is the GCF number.
So the greatest common factor 71160 and 71180 is 20.

Also check out the Least Common Multiple of 71160 and 71180