What is the Greatest Common Factor of 36725 and 36730?

Greatest common factor (GCF) of 36725 and 36730 is 5.

GCF(36725,36730) = 5

We will now calculate the prime factors of 36725 and 36730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36725 and 36730.

How to find the GCF of 36725 and 36730?

We will first find the prime factorization of 36725 and 36730. After we will calculate the factors of 36725 and 36730 and find the biggest common factor number .

Step-1: Prime Factorization of 36725

Prime factors of 36725 are 5, 13, 113. Prime factorization of 36725 in exponential form is:

36725 = 5² × 13¹ × 113¹

Step-2: Prime Factorization of 36730

Prime factors of 36730 are 2, 5, 3673. Prime factorization of 36730 in exponential form is:

36730 = 2¹ × 5¹ × 3673¹

Step-3: Factors of 36725

List of positive integer factors of 36725 that divides 36725 without a remainder.

1, 5, 13, 25, 65, 113, 325, 565, 1469, 2825, 7345

Step-4: Factors of 36730

List of positive integer factors of 36730 that divides 36725 without a remainder.

1, 2, 5, 10, 3673, 7346, 18365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36725 and 36730. The biggest common factor number is the GCF number.
So the greatest common factor 36725 and 36730 is 5.

Also check out the Least Common Multiple of 36725 and 36730