What is the Greatest Common Factor of 73940 and 73950?

Greatest common factor (GCF) of 73940 and 73950 is 10.

GCF(73940,73950) = 10

We will now calculate the prime factors of 73940 and 73950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73940 and 73950.

How to find the GCF of 73940 and 73950?

We will first find the prime factorization of 73940 and 73950. After we will calculate the factors of 73940 and 73950 and find the biggest common factor number .

Step-1: Prime Factorization of 73940

Prime factors of 73940 are 2, 5, 3697. Prime factorization of 73940 in exponential form is:

73940 = 2² × 5¹ × 3697¹

Step-2: 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-3: Factors of 73940

List of positive integer factors of 73940 that divides 73940 without a remainder.

1, 2, 4, 5, 10, 20, 3697, 7394, 14788, 18485, 36970

Step-4: Factors of 73950

List of positive integer factors of 73950 that divides 73940 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73940 and 73950. The biggest common factor number is the GCF number.
So the greatest common factor 73940 and 73950 is 10.

Also check out the Least Common Multiple of 73940 and 73950