What is the Greatest Common Factor of 26114 and 26125?

Greatest common factor (GCF) of 26114 and 26125 is 11.

GCF(26114,26125) = 11

We will now calculate the prime factors of 26114 and 26125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26114 and 26125.

How to find the GCF of 26114 and 26125?

We will first find the prime factorization of 26114 and 26125. After we will calculate the factors of 26114 and 26125 and find the biggest common factor number .

Step-1: Prime Factorization of 26114

Prime factors of 26114 are 2, 11, 1187. Prime factorization of 26114 in exponential form is:

26114 = 2¹ × 11¹ × 1187¹

Step-2: 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-3: Factors of 26114

List of positive integer factors of 26114 that divides 26114 without a remainder.

1, 2, 11, 22, 1187, 2374, 13057

Step-4: Factors of 26125

List of positive integer factors of 26125 that divides 26114 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26114 and 26125. The biggest common factor number is the GCF number.
So the greatest common factor 26114 and 26125 is 11.

Also check out the Least Common Multiple of 26114 and 26125