What is the Greatest Common Factor of 73950 and 73960?

Greatest common factor (GCF) of 73950 and 73960 is 10.

GCF(73950,73960) = 10

We will now calculate the prime factors of 73950 and 73960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73950 and 73960.

How to find the GCF of 73950 and 73960?

We will first find the prime factorization of 73950 and 73960. After we will calculate the factors of 73950 and 73960 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 73960

Prime factors of 73960 are 2, 5, 43. Prime factorization of 73960 in exponential form is:

73960 = 2³ × 5¹ × 43²

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 73960

List of positive integer factors of 73960 that divides 73950 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 43, 86, 172, 215, 344, 430, 860, 1720, 1849, 3698, 7396, 9245, 14792, 18490, 36980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73950 and 73960. The biggest common factor number is the GCF number.
So the greatest common factor 73950 and 73960 is 10.

Also check out the Least Common Multiple of 73950 and 73960