What is the Greatest Common Factor of 72830 and 72850?

Greatest common factor (GCF) of 72830 and 72850 is 10.

GCF(72830,72850) = 10

We will now calculate the prime factors of 72830 and 72850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72830 and 72850.

How to find the GCF of 72830 and 72850?

We will first find the prime factorization of 72830 and 72850. After we will calculate the factors of 72830 and 72850 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 72850

Prime factors of 72850 are 2, 5, 31, 47. Prime factorization of 72850 in exponential form is:

72850 = 2¹ × 5² × 31¹ × 47¹

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 72850

List of positive integer factors of 72850 that divides 72830 without a remainder.

1, 2, 5, 10, 25, 31, 47, 50, 62, 94, 155, 235, 310, 470, 775, 1175, 1457, 1550, 2350, 2914, 7285, 14570, 36425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72830 and 72850. The biggest common factor number is the GCF number.
So the greatest common factor 72830 and 72850 is 10.

Also check out the Least Common Multiple of 72830 and 72850