What is the Greatest Common Factor of 26275 and 26295?

Greatest common factor (GCF) of 26275 and 26295 is 5.

GCF(26275,26295) = 5

We will now calculate the prime factors of 26275 and 26295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26275 and 26295.

How to find the GCF of 26275 and 26295?

We will first find the prime factorization of 26275 and 26295. After we will calculate the factors of 26275 and 26295 and find the biggest common factor number .

Step-1: Prime Factorization of 26275

Prime factors of 26275 are 5, 1051. Prime factorization of 26275 in exponential form is:

26275 = 5² × 1051¹

Step-2: Prime Factorization of 26295

Prime factors of 26295 are 3, 5, 1753. Prime factorization of 26295 in exponential form is:

26295 = 3¹ × 5¹ × 1753¹

Step-3: Factors of 26275

List of positive integer factors of 26275 that divides 26275 without a remainder.

1, 5, 25, 1051, 5255

Step-4: Factors of 26295

List of positive integer factors of 26295 that divides 26275 without a remainder.

1, 3, 5, 15, 1753, 5259, 8765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26275 and 26295. The biggest common factor number is the GCF number.
So the greatest common factor 26275 and 26295 is 5.

Also check out the Least Common Multiple of 26275 and 26295