What is the Greatest Common Factor of 80626 and 80639?

Greatest common factor (GCF) of 80626 and 80639 is 13.

GCF(80626,80639) = 13

We will now calculate the prime factors of 80626 and 80639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80626 and 80639.

How to find the GCF of 80626 and 80639?

We will first find the prime factorization of 80626 and 80639. After we will calculate the factors of 80626 and 80639 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80639

Prime factors of 80639 are 13, 6203. Prime factorization of 80639 in exponential form is:

80639 = 13¹ × 6203¹

Step-3: Factors of 80626

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

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

Step-4: Factors of 80639

List of positive integer factors of 80639 that divides 80626 without a remainder.

1, 13, 6203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80626 and 80639. The biggest common factor number is the GCF number.
So the greatest common factor 80626 and 80639 is 13.

Also check out the Least Common Multiple of 80626 and 80639