What is the Greatest Common Factor of 74005 and 74011?

Greatest common factor (GCF) of 74005 and 74011 is 1.

GCF(74005,74011) = 1

We will now calculate the prime factors of 74005 and 74011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74005 and 74011.

How to find the GCF of 74005 and 74011?

We will first find the prime factorization of 74005 and 74011. After we will calculate the factors of 74005 and 74011 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74011

Prime factors of 74011 are 7, 97, 109. Prime factorization of 74011 in exponential form is:

74011 = 7¹ × 97¹ × 109¹

Step-3: Factors of 74005

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

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

Step-4: Factors of 74011

List of positive integer factors of 74011 that divides 74005 without a remainder.

1, 7, 97, 109, 679, 763, 10573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74005 and 74011. The biggest common factor number is the GCF number.
So the greatest common factor 74005 and 74011 is 1.

Also check out the Least Common Multiple of 74005 and 74011