What is the Greatest Common Factor of 46065 and 46074?

Greatest common factor (GCF) of 46065 and 46074 is 3.

GCF(46065,46074) = 3

We will now calculate the prime factors of 46065 and 46074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46065 and 46074.

How to find the GCF of 46065 and 46074?

We will first find the prime factorization of 46065 and 46074. After we will calculate the factors of 46065 and 46074 and find the biggest common factor number .

Step-1: Prime Factorization of 46065

Prime factors of 46065 are 3, 5, 37, 83. Prime factorization of 46065 in exponential form is:

46065 = 3¹ × 5¹ × 37¹ × 83¹

Step-2: Prime Factorization of 46074

Prime factors of 46074 are 2, 3, 7, 1097. Prime factorization of 46074 in exponential form is:

46074 = 2¹ × 3¹ × 7¹ × 1097¹

Step-3: Factors of 46065

List of positive integer factors of 46065 that divides 46065 without a remainder.

1, 3, 5, 15, 37, 83, 111, 185, 249, 415, 555, 1245, 3071, 9213, 15355

Step-4: Factors of 46074

List of positive integer factors of 46074 that divides 46065 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1097, 2194, 3291, 6582, 7679, 15358, 23037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46065 and 46074. The biggest common factor number is the GCF number.
So the greatest common factor 46065 and 46074 is 3.

Also check out the Least Common Multiple of 46065 and 46074