What is the Greatest Common Factor of 26117 and 26130?

Greatest common factor (GCF) of 26117 and 26130 is 13.

GCF(26117,26130) = 13

We will now calculate the prime factors of 26117 and 26130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26117 and 26130.

How to find the GCF of 26117 and 26130?

We will first find the prime factorization of 26117 and 26130. After we will calculate the factors of 26117 and 26130 and find the biggest common factor number .

Step-1: Prime Factorization of 26117

Prime factors of 26117 are 7, 13, 41. Prime factorization of 26117 in exponential form is:

26117 = 7² × 13¹ × 41¹

Step-2: Prime Factorization of 26130

Prime factors of 26130 are 2, 3, 5, 13, 67. Prime factorization of 26130 in exponential form is:

26130 = 2¹ × 3¹ × 5¹ × 13¹ × 67¹

Step-3: Factors of 26117

List of positive integer factors of 26117 that divides 26117 without a remainder.

1, 7, 13, 41, 49, 91, 287, 533, 637, 2009, 3731

Step-4: Factors of 26130

List of positive integer factors of 26130 that divides 26117 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 67, 78, 130, 134, 195, 201, 335, 390, 402, 670, 871, 1005, 1742, 2010, 2613, 4355, 5226, 8710, 13065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26117 and 26130. The biggest common factor number is the GCF number.
So the greatest common factor 26117 and 26130 is 13.

Also check out the Least Common Multiple of 26117 and 26130