What is the Greatest Common Factor of 26362 and 26369?

Greatest common factor (GCF) of 26362 and 26369 is 7.

GCF(26362,26369) = 7

We will now calculate the prime factors of 26362 and 26369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26362 and 26369.

How to find the GCF of 26362 and 26369?

We will first find the prime factorization of 26362 and 26369. After we will calculate the factors of 26362 and 26369 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 26369

Prime factors of 26369 are 7, 3767. Prime factorization of 26369 in exponential form is:

26369 = 7¹ × 3767¹

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 26369

List of positive integer factors of 26369 that divides 26362 without a remainder.

1, 7, 3767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26362 and 26369. The biggest common factor number is the GCF number.
So the greatest common factor 26362 and 26369 is 7.

Also check out the Least Common Multiple of 26362 and 26369