What is the Greatest Common Factor of 72825 and 72840?

Greatest common factor (GCF) of 72825 and 72840 is 15.

GCF(72825,72840) = 15

We will now calculate the prime factors of 72825 and 72840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72825 and 72840.

How to find the GCF of 72825 and 72840?

We will first find the prime factorization of 72825 and 72840. After we will calculate the factors of 72825 and 72840 and find the biggest common factor number .

Step-1: Prime Factorization of 72825

Prime factors of 72825 are 3, 5, 971. Prime factorization of 72825 in exponential form is:

72825 = 3¹ × 5² × 971¹

Step-2: Prime Factorization of 72840

Prime factors of 72840 are 2, 3, 5, 607. Prime factorization of 72840 in exponential form is:

72840 = 2³ × 3¹ × 5¹ × 607¹

Step-3: Factors of 72825

List of positive integer factors of 72825 that divides 72825 without a remainder.

1, 3, 5, 15, 25, 75, 971, 2913, 4855, 14565, 24275

Step-4: Factors of 72840

List of positive integer factors of 72840 that divides 72825 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 607, 1214, 1821, 2428, 3035, 3642, 4856, 6070, 7284, 9105, 12140, 14568, 18210, 24280, 36420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72825 and 72840. The biggest common factor number is the GCF number.
So the greatest common factor 72825 and 72840 is 15.

Also check out the Least Common Multiple of 72825 and 72840