What is the Greatest Common Factor of 36345 and 36350?

Greatest common factor (GCF) of 36345 and 36350 is 5.

GCF(36345,36350) = 5

We will now calculate the prime factors of 36345 and 36350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36345 and 36350.

How to find the GCF of 36345 and 36350?

We will first find the prime factorization of 36345 and 36350. After we will calculate the factors of 36345 and 36350 and find the biggest common factor number .

Step-1: Prime Factorization of 36345

Prime factors of 36345 are 3, 5, 2423. Prime factorization of 36345 in exponential form is:

36345 = 3¹ × 5¹ × 2423¹

Step-2: Prime Factorization of 36350

Prime factors of 36350 are 2, 5, 727. Prime factorization of 36350 in exponential form is:

36350 = 2¹ × 5² × 727¹

Step-3: Factors of 36345

List of positive integer factors of 36345 that divides 36345 without a remainder.

1, 3, 5, 15, 2423, 7269, 12115

Step-4: Factors of 36350

List of positive integer factors of 36350 that divides 36345 without a remainder.

1, 2, 5, 10, 25, 50, 727, 1454, 3635, 7270, 18175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36345 and 36350. The biggest common factor number is the GCF number.
So the greatest common factor 36345 and 36350 is 5.

Also check out the Least Common Multiple of 36345 and 36350