What is the Greatest Common Factor of 74046 and 74051?

Greatest common factor (GCF) of 74046 and 74051 is 1.

GCF(74046,74051) = 1

We will now calculate the prime factors of 74046 and 74051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74046 and 74051.

How to find the GCF of 74046 and 74051?

We will first find the prime factorization of 74046 and 74051. After we will calculate the factors of 74046 and 74051 and find the biggest common factor number .

Step-1: Prime Factorization of 74046

Prime factors of 74046 are 2, 3, 7, 41, 43. Prime factorization of 74046 in exponential form is:

74046 = 2¹ × 3¹ × 7¹ × 41¹ × 43¹

Step-2: Prime Factorization of 74051

Prime factors of 74051 are 74051. Prime factorization of 74051 in exponential form is:

74051 = 74051¹

Step-3: Factors of 74046

List of positive integer factors of 74046 that divides 74046 without a remainder.

1, 2, 3, 6, 7, 14, 21, 41, 42, 43, 82, 86, 123, 129, 246, 258, 287, 301, 574, 602, 861, 903, 1722, 1763, 1806, 3526, 5289, 10578, 12341, 24682, 37023

Step-4: Factors of 74051

List of positive integer factors of 74051 that divides 74046 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74046 and 74051. The biggest common factor number is the GCF number.
So the greatest common factor 74046 and 74051 is 1.

Also check out the Least Common Multiple of 74046 and 74051