What is the Greatest Common Factor of 26380 and 26390?

Greatest common factor (GCF) of 26380 and 26390 is 10.

GCF(26380,26390) = 10

We will now calculate the prime factors of 26380 and 26390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26380 and 26390.

How to find the GCF of 26380 and 26390?

We will first find the prime factorization of 26380 and 26390. After we will calculate the factors of 26380 and 26390 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 26390

Prime factors of 26390 are 2, 5, 7, 13, 29. Prime factorization of 26390 in exponential form is:

26390 = 2¹ × 5¹ × 7¹ × 13¹ × 29¹

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 26390

List of positive integer factors of 26390 that divides 26380 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 29, 35, 58, 65, 70, 91, 130, 145, 182, 203, 290, 377, 406, 455, 754, 910, 1015, 1885, 2030, 2639, 3770, 5278, 13195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26380 and 26390. The biggest common factor number is the GCF number.
So the greatest common factor 26380 and 26390 is 10.

Also check out the Least Common Multiple of 26380 and 26390