What is the Greatest Common Factor of 26355 and 26370?

Greatest common factor (GCF) of 26355 and 26370 is 15.

GCF(26355,26370) = 15

We will now calculate the prime factors of 26355 and 26370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26355 and 26370.

How to find the GCF of 26355 and 26370?

We will first find the prime factorization of 26355 and 26370. After we will calculate the factors of 26355 and 26370 and find the biggest common factor number .

Step-1: Prime Factorization of 26355

Prime factors of 26355 are 3, 5, 7, 251. Prime factorization of 26355 in exponential form is:

26355 = 3¹ × 5¹ × 7¹ × 251¹

Step-2: 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-3: Factors of 26355

List of positive integer factors of 26355 that divides 26355 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 251, 753, 1255, 1757, 3765, 5271, 8785

Step-4: Factors of 26370

List of positive integer factors of 26370 that divides 26355 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26355 and 26370. The biggest common factor number is the GCF number.
So the greatest common factor 26355 and 26370 is 15.

Also check out the Least Common Multiple of 26355 and 26370