What is the Greatest Common Factor of 36825 and 36840?

Greatest common factor (GCF) of 36825 and 36840 is 15.

GCF(36825,36840) = 15

We will now calculate the prime factors of 36825 and 36840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36825 and 36840.

How to find the GCF of 36825 and 36840?

We will first find the prime factorization of 36825 and 36840. After we will calculate the factors of 36825 and 36840 and find the biggest common factor number .

Step-1: Prime Factorization of 36825

Prime factors of 36825 are 3, 5, 491. Prime factorization of 36825 in exponential form is:

36825 = 3¹ × 5² × 491¹

Step-2: Prime Factorization of 36840

Prime factors of 36840 are 2, 3, 5, 307. Prime factorization of 36840 in exponential form is:

36840 = 2³ × 3¹ × 5¹ × 307¹

Step-3: Factors of 36825

List of positive integer factors of 36825 that divides 36825 without a remainder.

1, 3, 5, 15, 25, 75, 491, 1473, 2455, 7365, 12275

Step-4: Factors of 36840

List of positive integer factors of 36840 that divides 36825 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 307, 614, 921, 1228, 1535, 1842, 2456, 3070, 3684, 4605, 6140, 7368, 9210, 12280, 18420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36825 and 36840. The biggest common factor number is the GCF number.
So the greatest common factor 36825 and 36840 is 15.

Also check out the Least Common Multiple of 36825 and 36840