What is the Greatest Common Factor of 26225 and 26236?

Greatest common factor (GCF) of 26225 and 26236 is 1.

GCF(26225,26236) = 1

We will now calculate the prime factors of 26225 and 26236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26225 and 26236.

How to find the GCF of 26225 and 26236?

We will first find the prime factorization of 26225 and 26236. After we will calculate the factors of 26225 and 26236 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 26236

Prime factors of 26236 are 2, 7, 937. Prime factorization of 26236 in exponential form is:

26236 = 2² × 7¹ × 937¹

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 26236

List of positive integer factors of 26236 that divides 26225 without a remainder.

1, 2, 4, 7, 14, 28, 937, 1874, 3748, 6559, 13118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26225 and 26236. The biggest common factor number is the GCF number.
So the greatest common factor 26225 and 26236 is 1.

Also check out the Least Common Multiple of 26225 and 26236