What is the Greatest Common Factor of 26314 and 26332?

Greatest common factor (GCF) of 26314 and 26332 is 2.

GCF(26314,26332) = 2

We will now calculate the prime factors of 26314 and 26332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26314 and 26332.

How to find the GCF of 26314 and 26332?

We will first find the prime factorization of 26314 and 26332. After we will calculate the factors of 26314 and 26332 and find the biggest common factor number .

Step-1: Prime Factorization of 26314

Prime factors of 26314 are 2, 59, 223. Prime factorization of 26314 in exponential form is:

26314 = 2¹ × 59¹ × 223¹

Step-2: Prime Factorization of 26332

Prime factors of 26332 are 2, 29, 227. Prime factorization of 26332 in exponential form is:

26332 = 2² × 29¹ × 227¹

Step-3: Factors of 26314

List of positive integer factors of 26314 that divides 26314 without a remainder.

1, 2, 59, 118, 223, 446, 13157

Step-4: Factors of 26332

List of positive integer factors of 26332 that divides 26314 without a remainder.

1, 2, 4, 29, 58, 116, 227, 454, 908, 6583, 13166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26314 and 26332. The biggest common factor number is the GCF number.
So the greatest common factor 26314 and 26332 is 2.

Also check out the Least Common Multiple of 26314 and 26332