What is the Greatest Common Factor of 80612 and 80626?

Greatest common factor (GCF) of 80612 and 80626 is 14.

GCF(80612,80626) = 14

We will now calculate the prime factors of 80612 and 80626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80612 and 80626.

How to find the GCF of 80612 and 80626?

We will first find the prime factorization of 80612 and 80626. After we will calculate the factors of 80612 and 80626 and find the biggest common factor number .

Step-1: Prime Factorization of 80612

Prime factors of 80612 are 2, 7, 2879. Prime factorization of 80612 in exponential form is:

80612 = 2² × 7¹ × 2879¹

Step-2: Prime Factorization of 80626

Prime factors of 80626 are 2, 7, 13, 443. Prime factorization of 80626 in exponential form is:

80626 = 2¹ × 7¹ × 13¹ × 443¹

Step-3: Factors of 80612

List of positive integer factors of 80612 that divides 80612 without a remainder.

1, 2, 4, 7, 14, 28, 2879, 5758, 11516, 20153, 40306

Step-4: Factors of 80626

List of positive integer factors of 80626 that divides 80612 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 443, 886, 3101, 5759, 6202, 11518, 40313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80612 and 80626. The biggest common factor number is the GCF number.
So the greatest common factor 80612 and 80626 is 14.

Also check out the Least Common Multiple of 80612 and 80626