What is the Greatest Common Factor of 73985 and 74005?

Greatest common factor (GCF) of 73985 and 74005 is 5.

GCF(73985,74005) = 5

We will now calculate the prime factors of 73985 and 74005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73985 and 74005.

How to find the GCF of 73985 and 74005?

We will first find the prime factorization of 73985 and 74005. After we will calculate the factors of 73985 and 74005 and find the biggest common factor number .

Step-1: Prime Factorization of 73985

Prime factors of 73985 are 5, 14797. Prime factorization of 73985 in exponential form is:

73985 = 5¹ × 14797¹

Step-2: Prime Factorization of 74005

Prime factors of 74005 are 5, 19, 41. Prime factorization of 74005 in exponential form is:

74005 = 5¹ × 19² × 41¹

Step-3: Factors of 73985

List of positive integer factors of 73985 that divides 73985 without a remainder.

1, 5, 14797

Step-4: Factors of 74005

List of positive integer factors of 74005 that divides 73985 without a remainder.

1, 5, 19, 41, 95, 205, 361, 779, 1805, 3895, 14801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73985 and 74005. The biggest common factor number is the GCF number.
So the greatest common factor 73985 and 74005 is 5.

Also check out the Least Common Multiple of 73985 and 74005