What is the Greatest Common Factor of 26361 and 26367?

Greatest common factor (GCF) of 26361 and 26367 is 3.

GCF(26361,26367) = 3

We will now calculate the prime factors of 26361 and 26367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26361 and 26367.

How to find the GCF of 26361 and 26367?

We will first find the prime factorization of 26361 and 26367. After we will calculate the factors of 26361 and 26367 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26367

Prime factors of 26367 are 3, 11, 17, 47. Prime factorization of 26367 in exponential form is:

26367 = 3¹ × 11¹ × 17¹ × 47¹

Step-3: Factors of 26361

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

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

Step-4: Factors of 26367

List of positive integer factors of 26367 that divides 26361 without a remainder.

1, 3, 11, 17, 33, 47, 51, 141, 187, 517, 561, 799, 1551, 2397, 8789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26361 and 26367. The biggest common factor number is the GCF number.
So the greatest common factor 26361 and 26367 is 3.

Also check out the Least Common Multiple of 26361 and 26367