What is the Greatest Common Factor of 26140 and 26149?

Greatest common factor (GCF) of 26140 and 26149 is 1.

GCF(26140,26149) = 1

We will now calculate the prime factors of 26140 and 26149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26140 and 26149.

How to find the GCF of 26140 and 26149?

We will first find the prime factorization of 26140 and 26149. After we will calculate the factors of 26140 and 26149 and find the biggest common factor number .

Step-1: Prime Factorization of 26140

Prime factors of 26140 are 2, 5, 1307. Prime factorization of 26140 in exponential form is:

26140 = 2² × 5¹ × 1307¹

Step-2: Prime Factorization of 26149

Prime factors of 26149 are 79, 331. Prime factorization of 26149 in exponential form is:

26149 = 79¹ × 331¹

Step-3: Factors of 26140

List of positive integer factors of 26140 that divides 26140 without a remainder.

1, 2, 4, 5, 10, 20, 1307, 2614, 5228, 6535, 13070

Step-4: Factors of 26149

List of positive integer factors of 26149 that divides 26140 without a remainder.

1, 79, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26140 and 26149. The biggest common factor number is the GCF number.
So the greatest common factor 26140 and 26149 is 1.

Also check out the Least Common Multiple of 26140 and 26149