What is the Greatest Common Factor of 80912 and 80926?

Greatest common factor (GCF) of 80912 and 80926 is 2.

GCF(80912,80926) = 2

We will now calculate the prime factors of 80912 and 80926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80912 and 80926.

How to find the GCF of 80912 and 80926?

We will first find the prime factorization of 80912 and 80926. After we will calculate the factors of 80912 and 80926 and find the biggest common factor number .

Step-1: Prime Factorization of 80912

Prime factors of 80912 are 2, 13, 389. Prime factorization of 80912 in exponential form is:

80912 = 2⁴ × 13¹ × 389¹

Step-2: Prime Factorization of 80926

Prime factors of 80926 are 2, 43, 941. Prime factorization of 80926 in exponential form is:

80926 = 2¹ × 43¹ × 941¹

Step-3: Factors of 80912

List of positive integer factors of 80912 that divides 80912 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 389, 778, 1556, 3112, 5057, 6224, 10114, 20228, 40456

Step-4: Factors of 80926

List of positive integer factors of 80926 that divides 80912 without a remainder.

1, 2, 43, 86, 941, 1882, 40463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80912 and 80926. The biggest common factor number is the GCF number.
So the greatest common factor 80912 and 80926 is 2.

Also check out the Least Common Multiple of 80912 and 80926