What is the Greatest Common Factor of 72825 and 72843?

Greatest common factor (GCF) of 72825 and 72843 is 3.

GCF(72825,72843) = 3

We will now calculate the prime factors of 72825 and 72843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72825 and 72843.

How to find the GCF of 72825 and 72843?

We will first find the prime factorization of 72825 and 72843. After we will calculate the factors of 72825 and 72843 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 72843

Prime factors of 72843 are 3, 24281. Prime factorization of 72843 in exponential form is:

72843 = 3¹ × 24281¹

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 72843

List of positive integer factors of 72843 that divides 72825 without a remainder.

1, 3, 24281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72825 and 72843. The biggest common factor number is the GCF number.
So the greatest common factor 72825 and 72843 is 3.

Also check out the Least Common Multiple of 72825 and 72843