What is the Greatest Common Factor of 26380 and 26387?

Greatest common factor (GCF) of 26380 and 26387 is 1.

GCF(26380,26387) = 1

We will now calculate the prime factors of 26380 and 26387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26380 and 26387.

How to find the GCF of 26380 and 26387?

We will first find the prime factorization of 26380 and 26387. After we will calculate the factors of 26380 and 26387 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 26387

Prime factors of 26387 are 26387. Prime factorization of 26387 in exponential form is:

26387 = 26387¹

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 26387

List of positive integer factors of 26387 that divides 26380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26380 and 26387. The biggest common factor number is the GCF number.
So the greatest common factor 26380 and 26387 is 1.

Also check out the Least Common Multiple of 26380 and 26387