What is the Greatest Common Factor of 26274 and 26283?

Greatest common factor (GCF) of 26274 and 26283 is 3.

GCF(26274,26283) = 3

We will now calculate the prime factors of 26274 and 26283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26274 and 26283.

How to find the GCF of 26274 and 26283?

We will first find the prime factorization of 26274 and 26283. After we will calculate the factors of 26274 and 26283 and find the biggest common factor number .

Step-1: Prime Factorization of 26274

Prime factors of 26274 are 2, 3, 29, 151. Prime factorization of 26274 in exponential form is:

26274 = 2¹ × 3¹ × 29¹ × 151¹

Step-2: Prime Factorization of 26283

Prime factors of 26283 are 3, 8761. Prime factorization of 26283 in exponential form is:

26283 = 3¹ × 8761¹

Step-3: Factors of 26274

List of positive integer factors of 26274 that divides 26274 without a remainder.

1, 2, 3, 6, 29, 58, 87, 151, 174, 302, 453, 906, 4379, 8758, 13137

Step-4: Factors of 26283

List of positive integer factors of 26283 that divides 26274 without a remainder.

1, 3, 8761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26274 and 26283. The biggest common factor number is the GCF number.
So the greatest common factor 26274 and 26283 is 3.

Also check out the Least Common Multiple of 26274 and 26283