What is the Greatest Common Factor of 26117 and 26124?

Greatest common factor (GCF) of 26117 and 26124 is 7.

GCF(26117,26124) = 7

We will now calculate the prime factors of 26117 and 26124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26117 and 26124.

How to find the GCF of 26117 and 26124?

We will first find the prime factorization of 26117 and 26124. After we will calculate the factors of 26117 and 26124 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 26124

Prime factors of 26124 are 2, 3, 7, 311. Prime factorization of 26124 in exponential form is:

26124 = 2² × 3¹ × 7¹ × 311¹

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 26124

List of positive integer factors of 26124 that divides 26117 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 311, 622, 933, 1244, 1866, 2177, 3732, 4354, 6531, 8708, 13062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26117 and 26124. The biggest common factor number is the GCF number.
So the greatest common factor 26117 and 26124 is 7.

Also check out the Least Common Multiple of 26117 and 26124