What is the Greatest Common Factor of 80914 and 80922?

Greatest common factor (GCF) of 80914 and 80922 is 2.

GCF(80914,80922) = 2

We will now calculate the prime factors of 80914 and 80922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80914 and 80922.

How to find the GCF of 80914 and 80922?

We will first find the prime factorization of 80914 and 80922. After we will calculate the factors of 80914 and 80922 and find the biggest common factor number .

Step-1: Prime Factorization of 80914

Prime factors of 80914 are 2, 23, 1759. Prime factorization of 80914 in exponential form is:

80914 = 2¹ × 23¹ × 1759¹

Step-2: Prime Factorization of 80922

Prime factors of 80922 are 2, 3, 13487. Prime factorization of 80922 in exponential form is:

80922 = 2¹ × 3¹ × 13487¹

Step-3: Factors of 80914

List of positive integer factors of 80914 that divides 80914 without a remainder.

1, 2, 23, 46, 1759, 3518, 40457

Step-4: Factors of 80922

List of positive integer factors of 80922 that divides 80914 without a remainder.

1, 2, 3, 6, 13487, 26974, 40461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80914 and 80922. The biggest common factor number is the GCF number.
So the greatest common factor 80914 and 80922 is 2.

Also check out the Least Common Multiple of 80914 and 80922