What is the Greatest Common Factor of 13100 and 13114?

Greatest common factor (GCF) of 13100 and 13114 is 2.

GCF(13100,13114) = 2

We will now calculate the prime factors of 13100 and 13114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13100 and 13114.

How to find the GCF of 13100 and 13114?

We will first find the prime factorization of 13100 and 13114. After we will calculate the factors of 13100 and 13114 and find the biggest common factor number .

Step-1: Prime Factorization of 13100

Prime factors of 13100 are 2, 5, 131. Prime factorization of 13100 in exponential form is:

13100 = 2² × 5² × 131¹

Step-2: Prime Factorization of 13114

Prime factors of 13114 are 2, 79, 83. Prime factorization of 13114 in exponential form is:

13114 = 2¹ × 79¹ × 83¹

Step-3: Factors of 13100

List of positive integer factors of 13100 that divides 13100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 131, 262, 524, 655, 1310, 2620, 3275, 6550

Step-4: Factors of 13114

List of positive integer factors of 13114 that divides 13100 without a remainder.

1, 2, 79, 83, 158, 166, 6557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13100 and 13114. The biggest common factor number is the GCF number.
So the greatest common factor 13100 and 13114 is 2.

Also check out the Least Common Multiple of 13100 and 13114