What is the Greatest Common Factor of 36430 and 36450?

Greatest common factor (GCF) of 36430 and 36450 is 10.

GCF(36430,36450) = 10

We will now calculate the prime factors of 36430 and 36450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36430 and 36450.

How to find the GCF of 36430 and 36450?

We will first find the prime factorization of 36430 and 36450. After we will calculate the factors of 36430 and 36450 and find the biggest common factor number .

Step-1: Prime Factorization of 36430

Prime factors of 36430 are 2, 5, 3643. Prime factorization of 36430 in exponential form is:

36430 = 2¹ × 5¹ × 3643¹

Step-2: 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-3: Factors of 36430

List of positive integer factors of 36430 that divides 36430 without a remainder.

1, 2, 5, 10, 3643, 7286, 18215

Step-4: Factors of 36450

List of positive integer factors of 36450 that divides 36430 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36430 and 36450. The biggest common factor number is the GCF number.
So the greatest common factor 36430 and 36450 is 10.

Also check out the Least Common Multiple of 36430 and 36450