What is the Greatest Common Factor of 26362 and 26380?

Greatest common factor (GCF) of 26362 and 26380 is 2.

GCF(26362,26380) = 2

We will now calculate the prime factors of 26362 and 26380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26362 and 26380.

How to find the GCF of 26362 and 26380?

We will first find the prime factorization of 26362 and 26380. After we will calculate the factors of 26362 and 26380 and find the biggest common factor number .

Step-1: Prime Factorization of 26362

Prime factors of 26362 are 2, 7, 269. Prime factorization of 26362 in exponential form is:

26362 = 2¹ × 7² × 269¹

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 26362

List of positive integer factors of 26362 that divides 26362 without a remainder.

1, 2, 7, 14, 49, 98, 269, 538, 1883, 3766, 13181

Step-4: Factors of 26380

List of positive integer factors of 26380 that divides 26362 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 26362 and 26380. The biggest common factor number is the GCF number.
So the greatest common factor 26362 and 26380 is 2.

Also check out the Least Common Multiple of 26362 and 26380