What is the Greatest Common Factor of 74058 and 74063?

Greatest common factor (GCF) of 74058 and 74063 is 1.

GCF(74058,74063) = 1

We will now calculate the prime factors of 74058 and 74063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74058 and 74063.

How to find the GCF of 74058 and 74063?

We will first find the prime factorization of 74058 and 74063. After we will calculate the factors of 74058 and 74063 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74063

Prime factors of 74063 are 11, 6733. Prime factorization of 74063 in exponential form is:

74063 = 11¹ × 6733¹

Step-3: Factors of 74058

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

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

Step-4: Factors of 74063

List of positive integer factors of 74063 that divides 74058 without a remainder.

1, 11, 6733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74058 and 74063. The biggest common factor number is the GCF number.
So the greatest common factor 74058 and 74063 is 1.

Also check out the Least Common Multiple of 74058 and 74063