What is the Greatest Common Factor of 26738 and 26749?

Greatest common factor (GCF) of 26738 and 26749 is 1.

GCF(26738,26749) = 1

We will now calculate the prime factors of 26738 and 26749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26738 and 26749.

How to find the GCF of 26738 and 26749?

We will first find the prime factorization of 26738 and 26749. After we will calculate the factors of 26738 and 26749 and find the biggest common factor number .

Step-1: Prime Factorization of 26738

Prime factors of 26738 are 2, 29, 461. Prime factorization of 26738 in exponential form is:

26738 = 2¹ × 29¹ × 461¹

Step-2: Prime Factorization of 26749

Prime factors of 26749 are 23, 1163. Prime factorization of 26749 in exponential form is:

26749 = 23¹ × 1163¹

Step-3: Factors of 26738

List of positive integer factors of 26738 that divides 26738 without a remainder.

1, 2, 29, 58, 461, 922, 13369

Step-4: Factors of 26749

List of positive integer factors of 26749 that divides 26738 without a remainder.

1, 23, 1163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26738 and 26749. The biggest common factor number is the GCF number.
So the greatest common factor 26738 and 26749 is 1.

Also check out the Least Common Multiple of 26738 and 26749