What is the Greatest Common Factor of 26075 and 26088?

Greatest common factor (GCF) of 26075 and 26088 is 1.

GCF(26075,26088) = 1

We will now calculate the prime factors of 26075 and 26088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26075 and 26088.

How to find the GCF of 26075 and 26088?

We will first find the prime factorization of 26075 and 26088. After we will calculate the factors of 26075 and 26088 and find the biggest common factor number .

Step-1: Prime Factorization of 26075

Prime factors of 26075 are 5, 7, 149. Prime factorization of 26075 in exponential form is:

26075 = 5² × 7¹ × 149¹

Step-2: Prime Factorization of 26088

Prime factors of 26088 are 2, 3, 1087. Prime factorization of 26088 in exponential form is:

26088 = 2³ × 3¹ × 1087¹

Step-3: Factors of 26075

List of positive integer factors of 26075 that divides 26075 without a remainder.

1, 5, 7, 25, 35, 149, 175, 745, 1043, 3725, 5215

Step-4: Factors of 26088

List of positive integer factors of 26088 that divides 26075 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1087, 2174, 3261, 4348, 6522, 8696, 13044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26075 and 26088. The biggest common factor number is the GCF number.
So the greatest common factor 26075 and 26088 is 1.

Also check out the Least Common Multiple of 26075 and 26088