What is the Greatest Common Factor of 26361 and 26370?

Greatest common factor (GCF) of 26361 and 26370 is 9.

GCF(26361,26370) = 9

We will now calculate the prime factors of 26361 and 26370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26361 and 26370.

How to find the GCF of 26361 and 26370?

We will first find the prime factorization of 26361 and 26370. After we will calculate the factors of 26361 and 26370 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 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 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 26370

List of positive integer factors of 26370 that divides 26361 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 26361 and 26370. The biggest common factor number is the GCF number.
So the greatest common factor 26361 and 26370 is 9.

Also check out the Least Common Multiple of 26361 and 26370