What is the Greatest Common Factor of 26355 and 26369?

Greatest common factor (GCF) of 26355 and 26369 is 7.

GCF(26355,26369) = 7

We will now calculate the prime factors of 26355 and 26369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26355 and 26369.

How to find the GCF of 26355 and 26369?

We will first find the prime factorization of 26355 and 26369. After we will calculate the factors of 26355 and 26369 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 26369

Prime factors of 26369 are 7, 3767. Prime factorization of 26369 in exponential form is:

26369 = 7¹ × 3767¹

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 26369

List of positive integer factors of 26369 that divides 26355 without a remainder.

1, 7, 3767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26355 and 26369. The biggest common factor number is the GCF number.
So the greatest common factor 26355 and 26369 is 7.

Also check out the Least Common Multiple of 26355 and 26369