What is the Greatest Common Factor of 26364 and 26370?

Greatest common factor (GCF) of 26364 and 26370 is 6.

GCF(26364,26370) = 6

We will now calculate the prime factors of 26364 and 26370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26364 and 26370.

How to find the GCF of 26364 and 26370?

We will first find the prime factorization of 26364 and 26370. After we will calculate the factors of 26364 and 26370 and find the biggest common factor number .

Step-1: Prime Factorization of 26364

Prime factors of 26364 are 2, 3, 13. Prime factorization of 26364 in exponential form is:

26364 = 2² × 3¹ × 13³

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 26364

List of positive integer factors of 26364 that divides 26364 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028, 2197, 4394, 6591, 8788, 13182

Step-4: Factors of 26370

List of positive integer factors of 26370 that divides 26364 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 26364 and 26370. The biggest common factor number is the GCF number.
So the greatest common factor 26364 and 26370 is 6.

Also check out the Least Common Multiple of 26364 and 26370