What is the Greatest Common Factor of 73950 and 73965?

Greatest common factor (GCF) of 73950 and 73965 is 15.

GCF(73950,73965) = 15

We will now calculate the prime factors of 73950 and 73965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73950 and 73965.

How to find the GCF of 73950 and 73965?

We will first find the prime factorization of 73950 and 73965. After we will calculate the factors of 73950 and 73965 and find the biggest common factor number .

Step-1: Prime Factorization of 73950

Prime factors of 73950 are 2, 3, 5, 17, 29. Prime factorization of 73950 in exponential form is:

73950 = 2¹ × 3¹ × 5² × 17¹ × 29¹

Step-2: Prime Factorization of 73965

Prime factors of 73965 are 3, 5, 4931. Prime factorization of 73965 in exponential form is:

73965 = 3¹ × 5¹ × 4931¹

Step-3: Factors of 73950

List of positive integer factors of 73950 that divides 73950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 25, 29, 30, 34, 50, 51, 58, 75, 85, 87, 102, 145, 150, 170, 174, 255, 290, 425, 435, 493, 510, 725, 850, 870, 986, 1275, 1450, 1479, 2175, 2465, 2550, 2958, 4350, 4930, 7395, 12325, 14790, 24650, 36975

Step-4: Factors of 73965

List of positive integer factors of 73965 that divides 73950 without a remainder.

1, 3, 5, 15, 4931, 14793, 24655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73950 and 73965. The biggest common factor number is the GCF number.
So the greatest common factor 73950 and 73965 is 15.

Also check out the Least Common Multiple of 73950 and 73965