What is the Greatest Common Factor of 36450 and 36460?

Greatest common factor (GCF) of 36450 and 36460 is 10.

GCF(36450,36460) = 10

We will now calculate the prime factors of 36450 and 36460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36450 and 36460.

How to find the GCF of 36450 and 36460?

We will first find the prime factorization of 36450 and 36460. After we will calculate the factors of 36450 and 36460 and find the biggest common factor number .

Step-1: Prime Factorization of 36450

Prime factors of 36450 are 2, 3, 5. Prime factorization of 36450 in exponential form is:

36450 = 2¹ × 3⁶ × 5²

Step-2: Prime Factorization of 36460

Prime factors of 36460 are 2, 5, 1823. Prime factorization of 36460 in exponential form is:

36460 = 2² × 5¹ × 1823¹

Step-3: Factors of 36450

List of positive integer factors of 36450 that divides 36450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 243, 270, 405, 450, 486, 675, 729, 810, 1215, 1350, 1458, 2025, 2430, 3645, 4050, 6075, 7290, 12150, 18225

Step-4: Factors of 36460

List of positive integer factors of 36460 that divides 36450 without a remainder.

1, 2, 4, 5, 10, 20, 1823, 3646, 7292, 9115, 18230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36450 and 36460. The biggest common factor number is the GCF number.
So the greatest common factor 36450 and 36460 is 10.

Also check out the Least Common Multiple of 36450 and 36460