What is the Greatest Common Factor of 74049 and 74058?

Greatest common factor (GCF) of 74049 and 74058 is 3.

GCF(74049,74058) = 3

We will now calculate the prime factors of 74049 and 74058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74049 and 74058.

How to find the GCF of 74049 and 74058?

We will first find the prime factorization of 74049 and 74058. After we will calculate the factors of 74049 and 74058 and find the biggest common factor number .

Step-1: Prime Factorization of 74049

Prime factors of 74049 are 3, 24683. Prime factorization of 74049 in exponential form is:

74049 = 3¹ × 24683¹

Step-2: Prime Factorization of 74058

Prime factors of 74058 are 2, 3, 12343. Prime factorization of 74058 in exponential form is:

74058 = 2¹ × 3¹ × 12343¹

Step-3: Factors of 74049

List of positive integer factors of 74049 that divides 74049 without a remainder.

1, 3, 24683

Step-4: Factors of 74058

List of positive integer factors of 74058 that divides 74049 without a remainder.

1, 2, 3, 6, 12343, 24686, 37029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74049 and 74058. The biggest common factor number is the GCF number.
So the greatest common factor 74049 and 74058 is 3.

Also check out the Least Common Multiple of 74049 and 74058