What is the Greatest Common Factor of 13114 and 13130?

Greatest common factor (GCF) of 13114 and 13130 is 2.

GCF(13114,13130) = 2

We will now calculate the prime factors of 13114 and 13130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13114 and 13130.

How to find the GCF of 13114 and 13130?

We will first find the prime factorization of 13114 and 13130. After we will calculate the factors of 13114 and 13130 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13130

Prime factors of 13130 are 2, 5, 13, 101. Prime factorization of 13130 in exponential form is:

13130 = 2¹ × 5¹ × 13¹ × 101¹

Step-3: Factors of 13114

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

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

Step-4: Factors of 13130

List of positive integer factors of 13130 that divides 13114 without a remainder.

1, 2, 5, 10, 13, 26, 65, 101, 130, 202, 505, 1010, 1313, 2626, 6565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13114 and 13130. The biggest common factor number is the GCF number.
So the greatest common factor 13114 and 13130 is 2.

Also check out the Least Common Multiple of 13114 and 13130