What is the Greatest Common Factor of 80718 and 80729?

Greatest common factor (GCF) of 80718 and 80729 is 11.

GCF(80718,80729) = 11

We will now calculate the prime factors of 80718 and 80729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80718 and 80729.

How to find the GCF of 80718 and 80729?

We will first find the prime factorization of 80718 and 80729. After we will calculate the factors of 80718 and 80729 and find the biggest common factor number .

Step-1: Prime Factorization of 80718

Prime factors of 80718 are 2, 3, 11, 1223. Prime factorization of 80718 in exponential form is:

80718 = 2¹ × 3¹ × 11¹ × 1223¹

Step-2: Prime Factorization of 80729

Prime factors of 80729 are 11, 41, 179. Prime factorization of 80729 in exponential form is:

80729 = 11¹ × 41¹ × 179¹

Step-3: Factors of 80718

List of positive integer factors of 80718 that divides 80718 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1223, 2446, 3669, 7338, 13453, 26906, 40359

Step-4: Factors of 80729

List of positive integer factors of 80729 that divides 80718 without a remainder.

1, 11, 41, 179, 451, 1969, 7339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80718 and 80729. The biggest common factor number is the GCF number.
So the greatest common factor 80718 and 80729 is 11.

Also check out the Least Common Multiple of 80718 and 80729