What is the Greatest Common Factor of 26375 and 26380?

Greatest common factor (GCF) of 26375 and 26380 is 5.

GCF(26375,26380) = 5

We will now calculate the prime factors of 26375 and 26380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26375 and 26380.

How to find the GCF of 26375 and 26380?

We will first find the prime factorization of 26375 and 26380. After we will calculate the factors of 26375 and 26380 and find the biggest common factor number .

Step-1: Prime Factorization of 26375

Prime factors of 26375 are 5, 211. Prime factorization of 26375 in exponential form is:

26375 = 5³ × 211¹

Step-2: 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-3: Factors of 26375

List of positive integer factors of 26375 that divides 26375 without a remainder.

1, 5, 25, 125, 211, 1055, 5275

Step-4: Factors of 26380

List of positive integer factors of 26380 that divides 26375 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26375 and 26380. The biggest common factor number is the GCF number.
So the greatest common factor 26375 and 26380 is 5.

Also check out the Least Common Multiple of 26375 and 26380