What is the Greatest Common Factor of 26275 and 26290?

Greatest common factor (GCF) of 26275 and 26290 is 5.

GCF(26275,26290) = 5

We will now calculate the prime factors of 26275 and 26290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26275 and 26290.

How to find the GCF of 26275 and 26290?

We will first find the prime factorization of 26275 and 26290. After we will calculate the factors of 26275 and 26290 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 26290

Prime factors of 26290 are 2, 5, 11, 239. Prime factorization of 26290 in exponential form is:

26290 = 2¹ × 5¹ × 11¹ × 239¹

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 26290

List of positive integer factors of 26290 that divides 26275 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 239, 478, 1195, 2390, 2629, 5258, 13145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26275 and 26290. The biggest common factor number is the GCF number.
So the greatest common factor 26275 and 26290 is 5.

Also check out the Least Common Multiple of 26275 and 26290