What is the Greatest Common Factor of 80894 and 80905?

Greatest common factor (GCF) of 80894 and 80905 is 11.

GCF(80894,80905) = 11

We will now calculate the prime factors of 80894 and 80905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80894 and 80905.

How to find the GCF of 80894 and 80905?

We will first find the prime factorization of 80894 and 80905. After we will calculate the factors of 80894 and 80905 and find the biggest common factor number .

Step-1: Prime Factorization of 80894

Prime factors of 80894 are 2, 11, 3677. Prime factorization of 80894 in exponential form is:

80894 = 2¹ × 11¹ × 3677¹

Step-2: Prime Factorization of 80905

Prime factors of 80905 are 5, 11, 1471. Prime factorization of 80905 in exponential form is:

80905 = 5¹ × 11¹ × 1471¹

Step-3: Factors of 80894

List of positive integer factors of 80894 that divides 80894 without a remainder.

1, 2, 11, 22, 3677, 7354, 40447

Step-4: Factors of 80905

List of positive integer factors of 80905 that divides 80894 without a remainder.

1, 5, 11, 55, 1471, 7355, 16181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80894 and 80905. The biggest common factor number is the GCF number.
So the greatest common factor 80894 and 80905 is 11.

Also check out the Least Common Multiple of 80894 and 80905