What is the Greatest Common Factor of 8760 and 8772?

Greatest common factor (GCF) of 8760 and 8772 is 12.

GCF(8760,8772) = 12

We will now calculate the prime factors of 8760 and 8772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8760 and 8772.

How to find the GCF of 8760 and 8772?

We will first find the prime factorization of 8760 and 8772. After we will calculate the factors of 8760 and 8772 and find the biggest common factor number .

Step-1: Prime Factorization of 8760

Prime factors of 8760 are 2, 3, 5, 73. Prime factorization of 8760 in exponential form is:

8760 = 2³ × 3¹ × 5¹ × 73¹

Step-2: Prime Factorization of 8772

Prime factors of 8772 are 2, 3, 17, 43. Prime factorization of 8772 in exponential form is:

8772 = 2² × 3¹ × 17¹ × 43¹

Step-3: Factors of 8760

List of positive integer factors of 8760 that divides 8760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380

Step-4: Factors of 8772

List of positive integer factors of 8772 that divides 8760 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8760 and 8772. The biggest common factor number is the GCF number.
So the greatest common factor 8760 and 8772 is 12.

Also check out the Least Common Multiple of 8760 and 8772