What is the Greatest Common Factor of 26380 and 26392?

Greatest common factor (GCF) of 26380 and 26392 is 4.

GCF(26380,26392) = 4

We will now calculate the prime factors of 26380 and 26392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26380 and 26392.

How to find the GCF of 26380 and 26392?

We will first find the prime factorization of 26380 and 26392. After we will calculate the factors of 26380 and 26392 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 26392

Prime factors of 26392 are 2, 3299. Prime factorization of 26392 in exponential form is:

26392 = 2³ × 3299¹

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 26392

List of positive integer factors of 26392 that divides 26380 without a remainder.

1, 2, 4, 8, 3299, 6598, 13196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26380 and 26392. The biggest common factor number is the GCF number.
So the greatest common factor 26380 and 26392 is 4.

Also check out the Least Common Multiple of 26380 and 26392