What is the Greatest Common Factor of 72849 and 72855?

Greatest common factor (GCF) of 72849 and 72855 is 3.

GCF(72849,72855) = 3

We will now calculate the prime factors of 72849 and 72855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72849 and 72855.

How to find the GCF of 72849 and 72855?

We will first find the prime factorization of 72849 and 72855. After we will calculate the factors of 72849 and 72855 and find the biggest common factor number .

Step-1: Prime Factorization of 72849

Prime factors of 72849 are 3, 7, 3469. Prime factorization of 72849 in exponential form is:

72849 = 3¹ × 7¹ × 3469¹

Step-2: Prime Factorization of 72855

Prime factors of 72855 are 3, 5, 1619. Prime factorization of 72855 in exponential form is:

72855 = 3² × 5¹ × 1619¹

Step-3: Factors of 72849

List of positive integer factors of 72849 that divides 72849 without a remainder.

1, 3, 7, 21, 3469, 10407, 24283

Step-4: Factors of 72855

List of positive integer factors of 72855 that divides 72849 without a remainder.

1, 3, 5, 9, 15, 45, 1619, 4857, 8095, 14571, 24285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72849 and 72855. The biggest common factor number is the GCF number.
So the greatest common factor 72849 and 72855 is 3.

Also check out the Least Common Multiple of 72849 and 72855