What is the Greatest Common Factor of 26125 and 26136?

Greatest common factor (GCF) of 26125 and 26136 is 11.

GCF(26125,26136) = 11

We will now calculate the prime factors of 26125 and 26136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26125 and 26136.

How to find the GCF of 26125 and 26136?

We will first find the prime factorization of 26125 and 26136. After we will calculate the factors of 26125 and 26136 and find the biggest common factor number .

Step-1: Prime Factorization of 26125

Prime factors of 26125 are 5, 11, 19. Prime factorization of 26125 in exponential form is:

26125 = 5³ × 11¹ × 19¹

Step-2: Prime Factorization of 26136

Prime factors of 26136 are 2, 3, 11. Prime factorization of 26136 in exponential form is:

26136 = 2³ × 3³ × 11²

Step-3: Factors of 26125

List of positive integer factors of 26125 that divides 26125 without a remainder.

1, 5, 11, 19, 25, 55, 95, 125, 209, 275, 475, 1045, 1375, 2375, 5225

Step-4: Factors of 26136

List of positive integer factors of 26136 that divides 26125 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 121, 132, 198, 216, 242, 264, 297, 363, 396, 484, 594, 726, 792, 968, 1089, 1188, 1452, 2178, 2376, 2904, 3267, 4356, 6534, 8712, 13068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26125 and 26136. The biggest common factor number is the GCF number.
So the greatest common factor 26125 and 26136 is 11.

Also check out the Least Common Multiple of 26125 and 26136