What is the Greatest Common Factor of 80698 and 80712?

Greatest common factor (GCF) of 80698 and 80712 is 2.

GCF(80698,80712) = 2

We will now calculate the prime factors of 80698 and 80712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80698 and 80712.

How to find the GCF of 80698 and 80712?

We will first find the prime factorization of 80698 and 80712. After we will calculate the factors of 80698 and 80712 and find the biggest common factor number .

Step-1: Prime Factorization of 80698

Prime factors of 80698 are 2, 157, 257. Prime factorization of 80698 in exponential form is:

80698 = 2¹ × 157¹ × 257¹

Step-2: 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-3: Factors of 80698

List of positive integer factors of 80698 that divides 80698 without a remainder.

1, 2, 157, 257, 314, 514, 40349

Step-4: Factors of 80712

List of positive integer factors of 80712 that divides 80698 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80698 and 80712. The biggest common factor number is the GCF number.
So the greatest common factor 80698 and 80712 is 2.

Also check out the Least Common Multiple of 80698 and 80712