What is the Greatest Common Factor of 80414 and 80422?

Greatest common factor (GCF) of 80414 and 80422 is 2.

GCF(80414,80422) = 2

We will now calculate the prime factors of 80414 and 80422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80414 and 80422.

How to find the GCF of 80414 and 80422?

We will first find the prime factorization of 80414 and 80422. After we will calculate the factors of 80414 and 80422 and find the biggest common factor number .

Step-1: Prime Factorization of 80414

Prime factors of 80414 are 2, 31, 1297. Prime factorization of 80414 in exponential form is:

80414 = 2¹ × 31¹ × 1297¹

Step-2: Prime Factorization of 80422

Prime factors of 80422 are 2, 79, 509. Prime factorization of 80422 in exponential form is:

80422 = 2¹ × 79¹ × 509¹

Step-3: Factors of 80414

List of positive integer factors of 80414 that divides 80414 without a remainder.

1, 2, 31, 62, 1297, 2594, 40207

Step-4: Factors of 80422

List of positive integer factors of 80422 that divides 80414 without a remainder.

1, 2, 79, 158, 509, 1018, 40211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80414 and 80422. The biggest common factor number is the GCF number.
So the greatest common factor 80414 and 80422 is 2.

Also check out the Least Common Multiple of 80414 and 80422