What is the Greatest Common Factor of 26475 and 26489?

Greatest common factor (GCF) of 26475 and 26489 is 1.

GCF(26475,26489) = 1

We will now calculate the prime factors of 26475 and 26489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26475 and 26489.

How to find the GCF of 26475 and 26489?

We will first find the prime factorization of 26475 and 26489. After we will calculate the factors of 26475 and 26489 and find the biggest common factor number .

Step-1: Prime Factorization of 26475

Prime factors of 26475 are 3, 5, 353. Prime factorization of 26475 in exponential form is:

26475 = 3¹ × 5² × 353¹

Step-2: Prime Factorization of 26489

Prime factors of 26489 are 26489. Prime factorization of 26489 in exponential form is:

26489 = 26489¹

Step-3: Factors of 26475

List of positive integer factors of 26475 that divides 26475 without a remainder.

1, 3, 5, 15, 25, 75, 353, 1059, 1765, 5295, 8825

Step-4: Factors of 26489

List of positive integer factors of 26489 that divides 26475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26475 and 26489. The biggest common factor number is the GCF number.
So the greatest common factor 26475 and 26489 is 1.

Also check out the Least Common Multiple of 26475 and 26489