What is the Greatest Common Factor of 74116 and 74133?

Greatest common factor (GCF) of 74116 and 74133 is 1.

GCF(74116,74133) = 1

We will now calculate the prime factors of 74116 and 74133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74116 and 74133.

How to find the GCF of 74116 and 74133?

We will first find the prime factorization of 74116 and 74133. After we will calculate the factors of 74116 and 74133 and find the biggest common factor number .

Step-1: Prime Factorization of 74116

Prime factors of 74116 are 2, 7, 2647. Prime factorization of 74116 in exponential form is:

74116 = 2² × 7¹ × 2647¹

Step-2: Prime Factorization of 74133

Prime factors of 74133 are 3, 8237. Prime factorization of 74133 in exponential form is:

74133 = 3² × 8237¹

Step-3: Factors of 74116

List of positive integer factors of 74116 that divides 74116 without a remainder.

1, 2, 4, 7, 14, 28, 2647, 5294, 10588, 18529, 37058

Step-4: Factors of 74133

List of positive integer factors of 74133 that divides 74116 without a remainder.

1, 3, 9, 8237, 24711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74116 and 74133. The biggest common factor number is the GCF number.
So the greatest common factor 74116 and 74133 is 1.

Also check out the Least Common Multiple of 74116 and 74133