What is the Greatest Common Factor of 26380 and 26399?

Greatest common factor (GCF) of 26380 and 26399 is 1.

GCF(26380,26399) = 1

We will now calculate the prime factors of 26380 and 26399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26380 and 26399.

How to find the GCF of 26380 and 26399?

We will first find the prime factorization of 26380 and 26399. After we will calculate the factors of 26380 and 26399 and find the biggest common factor number .

Step-1: Prime Factorization of 26380

Prime factors of 26380 are 2, 5, 1319. Prime factorization of 26380 in exponential form is:

26380 = 2² × 5¹ × 1319¹

Step-2: Prime Factorization of 26399

Prime factors of 26399 are 26399. Prime factorization of 26399 in exponential form is:

26399 = 26399¹

Step-3: Factors of 26380

List of positive integer factors of 26380 that divides 26380 without a remainder.

1, 2, 4, 5, 10, 20, 1319, 2638, 5276, 6595, 13190

Step-4: Factors of 26399

List of positive integer factors of 26399 that divides 26380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26380 and 26399. The biggest common factor number is the GCF number.
So the greatest common factor 26380 and 26399 is 1.

Also check out the Least Common Multiple of 26380 and 26399