What is the Greatest Common Factor of 26340 and 26349?

Greatest common factor (GCF) of 26340 and 26349 is 3.

GCF(26340,26349) = 3

We will now calculate the prime factors of 26340 and 26349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26340 and 26349.

How to find the GCF of 26340 and 26349?

We will first find the prime factorization of 26340 and 26349. After we will calculate the factors of 26340 and 26349 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 26349

Prime factors of 26349 are 3, 8783. Prime factorization of 26349 in exponential form is:

26349 = 3¹ × 8783¹

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 26349

List of positive integer factors of 26349 that divides 26340 without a remainder.

1, 3, 8783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26340 and 26349. The biggest common factor number is the GCF number.
So the greatest common factor 26340 and 26349 is 3.

Also check out the Least Common Multiple of 26340 and 26349