What is the Greatest Common Factor of 73945 and 73960?

Greatest common factor (GCF) of 73945 and 73960 is 5.

GCF(73945,73960) = 5

We will now calculate the prime factors of 73945 and 73960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73945 and 73960.

How to find the GCF of 73945 and 73960?

We will first find the prime factorization of 73945 and 73960. After we will calculate the factors of 73945 and 73960 and find the biggest common factor number .

Step-1: Prime Factorization of 73945

Prime factors of 73945 are 5, 23, 643. Prime factorization of 73945 in exponential form is:

73945 = 5¹ × 23¹ × 643¹

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 73945

List of positive integer factors of 73945 that divides 73945 without a remainder.

1, 5, 23, 115, 643, 3215, 14789

Step-4: Factors of 73960

List of positive integer factors of 73960 that divides 73945 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 73945 and 73960. The biggest common factor number is the GCF number.
So the greatest common factor 73945 and 73960 is 5.

Also check out the Least Common Multiple of 73945 and 73960