What is the Greatest Common Factor of 26340 and 26359?

Greatest common factor (GCF) of 26340 and 26359 is 1.

GCF(26340,26359) = 1

We will now calculate the prime factors of 26340 and 26359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26340 and 26359.

How to find the GCF of 26340 and 26359?

We will first find the prime factorization of 26340 and 26359. After we will calculate the factors of 26340 and 26359 and find the biggest common factor number .

Step-1: Prime Factorization of 26340

Prime factors of 26340 are 2, 3, 5, 439. Prime factorization of 26340 in exponential form is:

26340 = 2² × 3¹ × 5¹ × 439¹

Step-2: Prime Factorization of 26359

Prime factors of 26359 are 43, 613. Prime factorization of 26359 in exponential form is:

26359 = 43¹ × 613¹

Step-3: Factors of 26340

List of positive integer factors of 26340 that divides 26340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 439, 878, 1317, 1756, 2195, 2634, 4390, 5268, 6585, 8780, 13170

Step-4: Factors of 26359

List of positive integer factors of 26359 that divides 26340 without a remainder.

1, 43, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26340 and 26359. The biggest common factor number is the GCF number.
So the greatest common factor 26340 and 26359 is 1.

Also check out the Least Common Multiple of 26340 and 26359