What is the Greatest Common Factor of 72825 and 72845?

Greatest common factor (GCF) of 72825 and 72845 is 5.

GCF(72825,72845) = 5

We will now calculate the prime factors of 72825 and 72845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72825 and 72845.

How to find the GCF of 72825 and 72845?

We will first find the prime factorization of 72825 and 72845. After we will calculate the factors of 72825 and 72845 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 72845

Prime factors of 72845 are 5, 17, 857. Prime factorization of 72845 in exponential form is:

72845 = 5¹ × 17¹ × 857¹

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 72845

List of positive integer factors of 72845 that divides 72825 without a remainder.

1, 5, 17, 85, 857, 4285, 14569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72825 and 72845. The biggest common factor number is the GCF number.
So the greatest common factor 72825 and 72845 is 5.

Also check out the Least Common Multiple of 72825 and 72845