What is the Greatest Common Factor of 72830 and 72836?

Greatest common factor (GCF) of 72830 and 72836 is 2.

GCF(72830,72836) = 2

We will now calculate the prime factors of 72830 and 72836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72830 and 72836.

How to find the GCF of 72830 and 72836?

We will first find the prime factorization of 72830 and 72836. After we will calculate the factors of 72830 and 72836 and find the biggest common factor number .

Step-1: Prime Factorization of 72830

Prime factors of 72830 are 2, 5, 7283. Prime factorization of 72830 in exponential form is:

72830 = 2¹ × 5¹ × 7283¹

Step-2: Prime Factorization of 72836

Prime factors of 72836 are 2, 131, 139. Prime factorization of 72836 in exponential form is:

72836 = 2² × 131¹ × 139¹

Step-3: Factors of 72830

List of positive integer factors of 72830 that divides 72830 without a remainder.

1, 2, 5, 10, 7283, 14566, 36415

Step-4: Factors of 72836

List of positive integer factors of 72836 that divides 72830 without a remainder.

1, 2, 4, 131, 139, 262, 278, 524, 556, 18209, 36418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72830 and 72836. The biggest common factor number is the GCF number.
So the greatest common factor 72830 and 72836 is 2.

Also check out the Least Common Multiple of 72830 and 72836