What is the Greatest Common Factor of 74121 and 74133?

Greatest common factor (GCF) of 74121 and 74133 is 3.

GCF(74121,74133) = 3

We will now calculate the prime factors of 74121 and 74133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74121 and 74133.

How to find the GCF of 74121 and 74133?

We will first find the prime factorization of 74121 and 74133. After we will calculate the factors of 74121 and 74133 and find the biggest common factor number .

Step-1: Prime Factorization of 74121

Prime factors of 74121 are 3, 31, 797. Prime factorization of 74121 in exponential form is:

74121 = 3¹ × 31¹ × 797¹

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 74121

List of positive integer factors of 74121 that divides 74121 without a remainder.

1, 3, 31, 93, 797, 2391, 24707

Step-4: Factors of 74133

List of positive integer factors of 74133 that divides 74121 without a remainder.

1, 3, 9, 8237, 24711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74121 and 74133. The biggest common factor number is the GCF number.
So the greatest common factor 74121 and 74133 is 3.

Also check out the Least Common Multiple of 74121 and 74133