What is the Greatest Common Factor of 80622 and 80626?

Greatest common factor (GCF) of 80622 and 80626 is 2.

GCF(80622,80626) = 2

We will now calculate the prime factors of 80622 and 80626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80622 and 80626.

How to find the GCF of 80622 and 80626?

We will first find the prime factorization of 80622 and 80626. After we will calculate the factors of 80622 and 80626 and find the biggest common factor number .

Step-1: Prime Factorization of 80622

Prime factors of 80622 are 2, 3, 1493. Prime factorization of 80622 in exponential form is:

80622 = 2¹ × 3³ × 1493¹

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 80622

List of positive integer factors of 80622 that divides 80622 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1493, 2986, 4479, 8958, 13437, 26874, 40311

Step-4: Factors of 80626

List of positive integer factors of 80626 that divides 80622 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 80622 and 80626. The biggest common factor number is the GCF number.
So the greatest common factor 80622 and 80626 is 2.

Also check out the Least Common Multiple of 80622 and 80626