What is the Greatest Common Factor of 26370 and 26379?

Greatest common factor (GCF) of 26370 and 26379 is 9.

GCF(26370,26379) = 9

We will now calculate the prime factors of 26370 and 26379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26370 and 26379.

How to find the GCF of 26370 and 26379?

We will first find the prime factorization of 26370 and 26379. After we will calculate the factors of 26370 and 26379 and find the biggest common factor number .

Step-1: Prime Factorization of 26370

Prime factors of 26370 are 2, 3, 5, 293. Prime factorization of 26370 in exponential form is:

26370 = 2¹ × 3² × 5¹ × 293¹

Step-2: Prime Factorization of 26379

Prime factors of 26379 are 3, 977. Prime factorization of 26379 in exponential form is:

26379 = 3³ × 977¹

Step-3: Factors of 26370

List of positive integer factors of 26370 that divides 26370 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 293, 586, 879, 1465, 1758, 2637, 2930, 4395, 5274, 8790, 13185

Step-4: Factors of 26379

List of positive integer factors of 26379 that divides 26370 without a remainder.

1, 3, 9, 27, 977, 2931, 8793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26370 and 26379. The biggest common factor number is the GCF number.
So the greatest common factor 26370 and 26379 is 9.

Also check out the Least Common Multiple of 26370 and 26379