What is the Greatest Common Factor of 26738 and 26754?

Greatest common factor (GCF) of 26738 and 26754 is 2.

GCF(26738,26754) = 2

We will now calculate the prime factors of 26738 and 26754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26738 and 26754.

How to find the GCF of 26738 and 26754?

We will first find the prime factorization of 26738 and 26754. After we will calculate the factors of 26738 and 26754 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 26754

Prime factors of 26754 are 2, 3, 7, 13. Prime factorization of 26754 in exponential form is:

26754 = 2¹ × 3¹ × 7³ × 13¹

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 26754

List of positive integer factors of 26754 that divides 26738 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 343, 546, 637, 686, 1029, 1274, 1911, 2058, 3822, 4459, 8918, 13377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26738 and 26754. The biggest common factor number is the GCF number.
So the greatest common factor 26738 and 26754 is 2.

Also check out the Least Common Multiple of 26738 and 26754