What is the Greatest Common Factor of 26350 and 26365?

Greatest common factor (GCF) of 26350 and 26365 is 5.

GCF(26350,26365) = 5

We will now calculate the prime factors of 26350 and 26365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26350 and 26365.

How to find the GCF of 26350 and 26365?

We will first find the prime factorization of 26350 and 26365. After we will calculate the factors of 26350 and 26365 and find the biggest common factor number .

Step-1: Prime Factorization of 26350

Prime factors of 26350 are 2, 5, 17, 31. Prime factorization of 26350 in exponential form is:

26350 = 2¹ × 5² × 17¹ × 31¹

Step-2: Prime Factorization of 26365

Prime factors of 26365 are 5, 5273. Prime factorization of 26365 in exponential form is:

26365 = 5¹ × 5273¹

Step-3: Factors of 26350

List of positive integer factors of 26350 that divides 26350 without a remainder.

1, 2, 5, 10, 17, 25, 31, 34, 50, 62, 85, 155, 170, 310, 425, 527, 775, 850, 1054, 1550, 2635, 5270, 13175

Step-4: Factors of 26365

List of positive integer factors of 26365 that divides 26350 without a remainder.

1, 5, 5273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26350 and 26365. The biggest common factor number is the GCF number.
So the greatest common factor 26350 and 26365 is 5.

Also check out the Least Common Multiple of 26350 and 26365