What is the Greatest Common Factor of 80708 and 80718?

Greatest common factor (GCF) of 80708 and 80718 is 2.

GCF(80708,80718) = 2

We will now calculate the prime factors of 80708 and 80718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80708 and 80718.

How to find the GCF of 80708 and 80718?

We will first find the prime factorization of 80708 and 80718. After we will calculate the factors of 80708 and 80718 and find the biggest common factor number .

Step-1: Prime Factorization of 80708

Prime factors of 80708 are 2, 20177. Prime factorization of 80708 in exponential form is:

80708 = 2² × 20177¹

Step-2: 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-3: Factors of 80708

List of positive integer factors of 80708 that divides 80708 without a remainder.

1, 2, 4, 20177, 40354

Step-4: Factors of 80718

List of positive integer factors of 80718 that divides 80708 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80708 and 80718. The biggest common factor number is the GCF number.
So the greatest common factor 80708 and 80718 is 2.

Also check out the Least Common Multiple of 80708 and 80718