What is the Greatest Common Factor of 73230 and 73250?

Greatest common factor (GCF) of 73230 and 73250 is 10.

GCF(73230,73250) = 10

We will now calculate the prime factors of 73230 and 73250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73230 and 73250.

How to find the GCF of 73230 and 73250?

We will first find the prime factorization of 73230 and 73250. After we will calculate the factors of 73230 and 73250 and find the biggest common factor number .

Step-1: Prime Factorization of 73230

Prime factors of 73230 are 2, 3, 5, 2441. Prime factorization of 73230 in exponential form is:

73230 = 2¹ × 3¹ × 5¹ × 2441¹

Step-2: Prime Factorization of 73250

Prime factors of 73250 are 2, 5, 293. Prime factorization of 73250 in exponential form is:

73250 = 2¹ × 5³ × 293¹

Step-3: Factors of 73230

List of positive integer factors of 73230 that divides 73230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2441, 4882, 7323, 12205, 14646, 24410, 36615

Step-4: Factors of 73250

List of positive integer factors of 73250 that divides 73230 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 293, 586, 1465, 2930, 7325, 14650, 36625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73230 and 73250. The biggest common factor number is the GCF number.
So the greatest common factor 73230 and 73250 is 10.

Also check out the Least Common Multiple of 73230 and 73250