What is the Greatest Common Factor of 73950 and 73967?

Greatest common factor (GCF) of 73950 and 73967 is 17.

GCF(73950,73967) = 17

We will now calculate the prime factors of 73950 and 73967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73950 and 73967.

How to find the GCF of 73950 and 73967?

We will first find the prime factorization of 73950 and 73967. After we will calculate the factors of 73950 and 73967 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 73967

Prime factors of 73967 are 17, 19, 229. Prime factorization of 73967 in exponential form is:

73967 = 17¹ × 19¹ × 229¹

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 73967

List of positive integer factors of 73967 that divides 73950 without a remainder.

1, 17, 19, 229, 323, 3893, 4351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73950 and 73967. The biggest common factor number is the GCF number.
So the greatest common factor 73950 and 73967 is 17.

Also check out the Least Common Multiple of 73950 and 73967