What is the Greatest Common Factor of 26335 and 26355?

Greatest common factor (GCF) of 26335 and 26355 is 5.

GCF(26335,26355) = 5

We will now calculate the prime factors of 26335 and 26355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26335 and 26355.

How to find the GCF of 26335 and 26355?

We will first find the prime factorization of 26335 and 26355. After we will calculate the factors of 26335 and 26355 and find the biggest common factor number .

Step-1: Prime Factorization of 26335

Prime factors of 26335 are 5, 23, 229. Prime factorization of 26335 in exponential form is:

26335 = 5¹ × 23¹ × 229¹

Step-2: 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-3: Factors of 26335

List of positive integer factors of 26335 that divides 26335 without a remainder.

1, 5, 23, 115, 229, 1145, 5267

Step-4: Factors of 26355

List of positive integer factors of 26355 that divides 26335 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26335 and 26355. The biggest common factor number is the GCF number.
So the greatest common factor 26335 and 26355 is 5.

Also check out the Least Common Multiple of 26335 and 26355