What is the Greatest Common Factor of 46004 and 46022?

Greatest common factor (GCF) of 46004 and 46022 is 2.

GCF(46004,46022) = 2

We will now calculate the prime factors of 46004 and 46022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46004 and 46022.

How to find the GCF of 46004 and 46022?

We will first find the prime factorization of 46004 and 46022. After we will calculate the factors of 46004 and 46022 and find the biggest common factor number .

Step-1: Prime Factorization of 46004

Prime factors of 46004 are 2, 7, 31, 53. Prime factorization of 46004 in exponential form is:

46004 = 2² × 7¹ × 31¹ × 53¹

Step-2: Prime Factorization of 46022

Prime factors of 46022 are 2, 23011. Prime factorization of 46022 in exponential form is:

46022 = 2¹ × 23011¹

Step-3: Factors of 46004

List of positive integer factors of 46004 that divides 46004 without a remainder.

1, 2, 4, 7, 14, 28, 31, 53, 62, 106, 124, 212, 217, 371, 434, 742, 868, 1484, 1643, 3286, 6572, 11501, 23002

Step-4: Factors of 46022

List of positive integer factors of 46022 that divides 46004 without a remainder.

1, 2, 23011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46004 and 46022. The biggest common factor number is the GCF number.
So the greatest common factor 46004 and 46022 is 2.

Also check out the Least Common Multiple of 46004 and 46022