What is the Greatest Common Factor of 72840 and 72849?

Greatest common factor (GCF) of 72840 and 72849 is 3.

GCF(72840,72849) = 3

We will now calculate the prime factors of 72840 and 72849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72840 and 72849.

How to find the GCF of 72840 and 72849?

We will first find the prime factorization of 72840 and 72849. After we will calculate the factors of 72840 and 72849 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 72840

List of positive integer factors of 72840 that divides 72840 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

Step-4: Factors of 72849

List of positive integer factors of 72849 that divides 72840 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72840 and 72849. The biggest common factor number is the GCF number.
So the greatest common factor 72840 and 72849 is 3.

Also check out the Least Common Multiple of 72840 and 72849