What is the Greatest Common Factor of 14091 and 14102?

Greatest common factor (GCF) of 14091 and 14102 is 11.

GCF(14091,14102) = 11

We will now calculate the prime factors of 14091 and 14102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14091 and 14102.

How to find the GCF of 14091 and 14102?

We will first find the prime factorization of 14091 and 14102. After we will calculate the factors of 14091 and 14102 and find the biggest common factor number .

Step-1: Prime Factorization of 14091

Prime factors of 14091 are 3, 7, 11, 61. Prime factorization of 14091 in exponential form is:

14091 = 3¹ × 7¹ × 11¹ × 61¹

Step-2: Prime Factorization of 14102

Prime factors of 14102 are 2, 11, 641. Prime factorization of 14102 in exponential form is:

14102 = 2¹ × 11¹ × 641¹

Step-3: Factors of 14091

List of positive integer factors of 14091 that divides 14091 without a remainder.

1, 3, 7, 11, 21, 33, 61, 77, 183, 231, 427, 671, 1281, 2013, 4697

Step-4: Factors of 14102

List of positive integer factors of 14102 that divides 14091 without a remainder.

1, 2, 11, 22, 641, 1282, 7051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14091 and 14102. The biggest common factor number is the GCF number.
So the greatest common factor 14091 and 14102 is 11.

Also check out the Least Common Multiple of 14091 and 14102