What is the Greatest Common Factor of 73500 and 73518?

Greatest common factor (GCF) of 73500 and 73518 is 6.

GCF(73500,73518) = 6

We will now calculate the prime factors of 73500 and 73518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73500 and 73518.

How to find the GCF of 73500 and 73518?

We will first find the prime factorization of 73500 and 73518. After we will calculate the factors of 73500 and 73518 and find the biggest common factor number .

Step-1: Prime Factorization of 73500

Prime factors of 73500 are 2, 3, 5, 7. Prime factorization of 73500 in exponential form is:

73500 = 2² × 3¹ × 5³ × 7²

Step-2: Prime Factorization of 73518

Prime factors of 73518 are 2, 3, 12253. Prime factorization of 73518 in exponential form is:

73518 = 2¹ × 3¹ × 12253¹

Step-3: Factors of 73500

List of positive integer factors of 73500 that divides 73500 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 49, 50, 60, 70, 75, 84, 98, 100, 105, 125, 140, 147, 150, 175, 196, 210, 245, 250, 294, 300, 350, 375, 420, 490, 500, 525, 588, 700, 735, 750, 875, 980, 1050, 1225, 1470, 1500, 1750, 2100, 2450, 2625, 2940, 3500, 3675, 4900, 5250, 6125, 7350, 10500, 12250, 14700, 18375, 24500, 36750

Step-4: Factors of 73518

List of positive integer factors of 73518 that divides 73500 without a remainder.

1, 2, 3, 6, 12253, 24506, 36759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73500 and 73518. The biggest common factor number is the GCF number.
So the greatest common factor 73500 and 73518 is 6.

Also check out the Least Common Multiple of 73500 and 73518