What is the Greatest Common Factor of 26225 and 26238?

Greatest common factor (GCF) of 26225 and 26238 is 1.

GCF(26225,26238) = 1

We will now calculate the prime factors of 26225 and 26238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26225 and 26238.

How to find the GCF of 26225 and 26238?

We will first find the prime factorization of 26225 and 26238. After we will calculate the factors of 26225 and 26238 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 26238

Prime factors of 26238 are 2, 3, 4373. Prime factorization of 26238 in exponential form is:

26238 = 2¹ × 3¹ × 4373¹

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 26238

List of positive integer factors of 26238 that divides 26225 without a remainder.

1, 2, 3, 6, 4373, 8746, 13119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26225 and 26238. The biggest common factor number is the GCF number.
So the greatest common factor 26225 and 26238 is 1.

Also check out the Least Common Multiple of 26225 and 26238