What is the Greatest Common Factor of 26349 and 26361?

Greatest common factor (GCF) of 26349 and 26361 is 3.

GCF(26349,26361) = 3

We will now calculate the prime factors of 26349 and 26361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26349 and 26361.

How to find the GCF of 26349 and 26361?

We will first find the prime factorization of 26349 and 26361. After we will calculate the factors of 26349 and 26361 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 26361

Prime factors of 26361 are 3, 29, 101. Prime factorization of 26361 in exponential form is:

26361 = 3² × 29¹ × 101¹

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 26361

List of positive integer factors of 26361 that divides 26349 without a remainder.

1, 3, 9, 29, 87, 101, 261, 303, 909, 2929, 8787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26349 and 26361. The biggest common factor number is the GCF number.
So the greatest common factor 26349 and 26361 is 3.

Also check out the Least Common Multiple of 26349 and 26361