What is the Greatest Common Factor of 26360 and 26378?

Greatest common factor (GCF) of 26360 and 26378 is 2.

GCF(26360,26378) = 2

We will now calculate the prime factors of 26360 and 26378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26360 and 26378.

How to find the GCF of 26360 and 26378?

We will first find the prime factorization of 26360 and 26378. After we will calculate the factors of 26360 and 26378 and find the biggest common factor number .

Step-1: Prime Factorization of 26360

Prime factors of 26360 are 2, 5, 659. Prime factorization of 26360 in exponential form is:

26360 = 2³ × 5¹ × 659¹

Step-2: Prime Factorization of 26378

Prime factors of 26378 are 2, 11, 109. Prime factorization of 26378 in exponential form is:

26378 = 2¹ × 11² × 109¹

Step-3: Factors of 26360

List of positive integer factors of 26360 that divides 26360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 659, 1318, 2636, 3295, 5272, 6590, 13180

Step-4: Factors of 26378

List of positive integer factors of 26378 that divides 26360 without a remainder.

1, 2, 11, 22, 109, 121, 218, 242, 1199, 2398, 13189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26360 and 26378. The biggest common factor number is the GCF number.
So the greatest common factor 26360 and 26378 is 2.

Also check out the Least Common Multiple of 26360 and 26378