What is the Greatest Common Factor of 80712 and 80724?

Greatest common factor (GCF) of 80712 and 80724 is 12.

GCF(80712,80724) = 12

We will now calculate the prime factors of 80712 and 80724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80712 and 80724.

How to find the GCF of 80712 and 80724?

We will first find the prime factorization of 80712 and 80724. After we will calculate the factors of 80712 and 80724 and find the biggest common factor number .

Step-1: Prime Factorization of 80712

Prime factors of 80712 are 2, 3, 19, 59. Prime factorization of 80712 in exponential form is:

80712 = 2³ × 3² × 19¹ × 59¹

Step-2: Prime Factorization of 80724

Prime factors of 80724 are 2, 3, 7, 31. Prime factorization of 80724 in exponential form is:

80724 = 2² × 3¹ × 7¹ × 31²

Step-3: Factors of 80712

List of positive integer factors of 80712 that divides 80712 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 59, 72, 76, 114, 118, 152, 171, 177, 228, 236, 342, 354, 456, 472, 531, 684, 708, 1062, 1121, 1368, 1416, 2124, 2242, 3363, 4248, 4484, 6726, 8968, 10089, 13452, 20178, 26904, 40356

Step-4: Factors of 80724

List of positive integer factors of 80724 that divides 80712 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 961, 1302, 1922, 2604, 2883, 3844, 5766, 6727, 11532, 13454, 20181, 26908, 40362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80712 and 80724. The biggest common factor number is the GCF number.
So the greatest common factor 80712 and 80724 is 12.

Also check out the Least Common Multiple of 80712 and 80724