What is the Greatest Common Factor of 80916 and 80927?

Greatest common factor (GCF) of 80916 and 80927 is 11.

GCF(80916,80927) = 11

We will now calculate the prime factors of 80916 and 80927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80916 and 80927.

How to find the GCF of 80916 and 80927?

We will first find the prime factorization of 80916 and 80927. After we will calculate the factors of 80916 and 80927 and find the biggest common factor number .

Step-1: Prime Factorization of 80916

Prime factors of 80916 are 2, 3, 11, 613. Prime factorization of 80916 in exponential form is:

80916 = 2² × 3¹ × 11¹ × 613¹

Step-2: Prime Factorization of 80927

Prime factors of 80927 are 7, 11, 1051. Prime factorization of 80927 in exponential form is:

80927 = 7¹ × 11¹ × 1051¹

Step-3: Factors of 80916

List of positive integer factors of 80916 that divides 80916 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 613, 1226, 1839, 2452, 3678, 6743, 7356, 13486, 20229, 26972, 40458

Step-4: Factors of 80927

List of positive integer factors of 80927 that divides 80916 without a remainder.

1, 7, 11, 77, 1051, 7357, 11561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80916 and 80927. The biggest common factor number is the GCF number.
So the greatest common factor 80916 and 80927 is 11.

Also check out the Least Common Multiple of 80916 and 80927