What is the Greatest Common Factor of 72858 and 72876?

Greatest common factor (GCF) of 72858 and 72876 is 6.

GCF(72858,72876) = 6

We will now calculate the prime factors of 72858 and 72876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72858 and 72876.

How to find the GCF of 72858 and 72876?

We will first find the prime factorization of 72858 and 72876. After we will calculate the factors of 72858 and 72876 and find the biggest common factor number .

Step-1: Prime Factorization of 72858

Prime factors of 72858 are 2, 3, 12143. Prime factorization of 72858 in exponential form is:

72858 = 2¹ × 3¹ × 12143¹

Step-2: Prime Factorization of 72876

Prime factors of 72876 are 2, 3, 6073. Prime factorization of 72876 in exponential form is:

72876 = 2² × 3¹ × 6073¹

Step-3: Factors of 72858

List of positive integer factors of 72858 that divides 72858 without a remainder.

1, 2, 3, 6, 12143, 24286, 36429

Step-4: Factors of 72876

List of positive integer factors of 72876 that divides 72858 without a remainder.

1, 2, 3, 4, 6, 12, 6073, 12146, 18219, 24292, 36438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72858 and 72876. The biggest common factor number is the GCF number.
So the greatest common factor 72858 and 72876 is 6.

Also check out the Least Common Multiple of 72858 and 72876