What is the Greatest Common Factor of 26225 and 26239?

Greatest common factor (GCF) of 26225 and 26239 is 1.

GCF(26225,26239) = 1

We will now calculate the prime factors of 26225 and 26239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26225 and 26239.

How to find the GCF of 26225 and 26239?

We will first find the prime factorization of 26225 and 26239. After we will calculate the factors of 26225 and 26239 and find the biggest common factor number .

Step-1: Prime Factorization of 26225

Prime factors of 26225 are 5, 1049. Prime factorization of 26225 in exponential form is:

26225 = 5² × 1049¹

Step-2: Prime Factorization of 26239

Prime factors of 26239 are 19, 1381. Prime factorization of 26239 in exponential form is:

26239 = 19¹ × 1381¹

Step-3: Factors of 26225

List of positive integer factors of 26225 that divides 26225 without a remainder.

1, 5, 25, 1049, 5245

Step-4: Factors of 26239

List of positive integer factors of 26239 that divides 26225 without a remainder.

1, 19, 1381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26225 and 26239. The biggest common factor number is the GCF number.
So the greatest common factor 26225 and 26239 is 1.

Also check out the Least Common Multiple of 26225 and 26239