What is the Greatest Common Factor of 71160 and 71172?

Greatest common factor (GCF) of 71160 and 71172 is 12.

GCF(71160,71172) = 12

We will now calculate the prime factors of 71160 and 71172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71160 and 71172.

How to find the GCF of 71160 and 71172?

We will first find the prime factorization of 71160 and 71172. After we will calculate the factors of 71160 and 71172 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 71172

Prime factors of 71172 are 2, 3, 659. Prime factorization of 71172 in exponential form is:

71172 = 2² × 3³ × 659¹

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 71172

List of positive integer factors of 71172 that divides 71160 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 659, 1318, 1977, 2636, 3954, 5931, 7908, 11862, 17793, 23724, 35586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71160 and 71172. The biggest common factor number is the GCF number.
So the greatest common factor 71160 and 71172 is 12.

Also check out the Least Common Multiple of 71160 and 71172