What is the Greatest Common Factor of 14905 and 14916?

Greatest common factor (GCF) of 14905 and 14916 is 11.

GCF(14905,14916) = 11

We will now calculate the prime factors of 14905 and 14916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14905 and 14916.

How to find the GCF of 14905 and 14916?

We will first find the prime factorization of 14905 and 14916. After we will calculate the factors of 14905 and 14916 and find the biggest common factor number .

Step-1: Prime Factorization of 14905

Prime factors of 14905 are 5, 11, 271. Prime factorization of 14905 in exponential form is:

14905 = 5¹ × 11¹ × 271¹

Step-2: Prime Factorization of 14916

Prime factors of 14916 are 2, 3, 11, 113. Prime factorization of 14916 in exponential form is:

14916 = 2² × 3¹ × 11¹ × 113¹

Step-3: Factors of 14905

List of positive integer factors of 14905 that divides 14905 without a remainder.

1, 5, 11, 55, 271, 1355, 2981

Step-4: Factors of 14916

List of positive integer factors of 14916 that divides 14905 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 113, 132, 226, 339, 452, 678, 1243, 1356, 2486, 3729, 4972, 7458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14905 and 14916. The biggest common factor number is the GCF number.
So the greatest common factor 14905 and 14916 is 11.

Also check out the Least Common Multiple of 14905 and 14916