What is the Greatest Common Factor of 26349 and 26358?

Greatest common factor (GCF) of 26349 and 26358 is 3.

GCF(26349,26358) = 3

We will now calculate the prime factors of 26349 and 26358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26349 and 26358.

How to find the GCF of 26349 and 26358?

We will first find the prime factorization of 26349 and 26358. After we will calculate the factors of 26349 and 26358 and find the biggest common factor number .

Step-1: Prime Factorization of 26349

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

26349 = 3¹ × 8783¹

Step-2: Prime Factorization of 26358

Prime factors of 26358 are 2, 3, 23, 191. Prime factorization of 26358 in exponential form is:

26358 = 2¹ × 3¹ × 23¹ × 191¹

Step-3: Factors of 26349

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

1, 3, 8783

Step-4: Factors of 26358

List of positive integer factors of 26358 that divides 26349 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 191, 382, 573, 1146, 4393, 8786, 13179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26349 and 26358. The biggest common factor number is the GCF number.
So the greatest common factor 26349 and 26358 is 3.

Also check out the Least Common Multiple of 26349 and 26358