What is the Greatest Common Factor of 26475 and 26495?

Greatest common factor (GCF) of 26475 and 26495 is 5.

GCF(26475,26495) = 5

We will now calculate the prime factors of 26475 and 26495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26475 and 26495.

How to find the GCF of 26475 and 26495?

We will first find the prime factorization of 26475 and 26495. After we will calculate the factors of 26475 and 26495 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 26495

Prime factors of 26495 are 5, 7, 757. Prime factorization of 26495 in exponential form is:

26495 = 5¹ × 7¹ × 757¹

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 26495

List of positive integer factors of 26495 that divides 26475 without a remainder.

1, 5, 7, 35, 757, 3785, 5299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26475 and 26495. The biggest common factor number is the GCF number.
So the greatest common factor 26475 and 26495 is 5.

Also check out the Least Common Multiple of 26475 and 26495