What is the Greatest Common Factor of 26720 and 26738?

Greatest common factor (GCF) of 26720 and 26738 is 2.

GCF(26720,26738) = 2

We will now calculate the prime factors of 26720 and 26738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26720 and 26738.

How to find the GCF of 26720 and 26738?

We will first find the prime factorization of 26720 and 26738. After we will calculate the factors of 26720 and 26738 and find the biggest common factor number .

Step-1: Prime Factorization of 26720

Prime factors of 26720 are 2, 5, 167. Prime factorization of 26720 in exponential form is:

26720 = 2⁵ × 5¹ × 167¹

Step-2: 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-3: Factors of 26720

List of positive integer factors of 26720 that divides 26720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 167, 334, 668, 835, 1336, 1670, 2672, 3340, 5344, 6680, 13360

Step-4: Factors of 26738

List of positive integer factors of 26738 that divides 26720 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26720 and 26738. The biggest common factor number is the GCF number.
So the greatest common factor 26720 and 26738 is 2.

Also check out the Least Common Multiple of 26720 and 26738