What is the Greatest Common Factor of 46004 and 46023?

Greatest common factor (GCF) of 46004 and 46023 is 1.

GCF(46004,46023) = 1

We will now calculate the prime factors of 46004 and 46023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46004 and 46023.

How to find the GCF of 46004 and 46023?

We will first find the prime factorization of 46004 and 46023. After we will calculate the factors of 46004 and 46023 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 46023

Prime factors of 46023 are 3, 23, 29. Prime factorization of 46023 in exponential form is:

46023 = 3¹ × 23² × 29¹

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 46023

List of positive integer factors of 46023 that divides 46004 without a remainder.

1, 3, 23, 29, 69, 87, 529, 667, 1587, 2001, 15341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46004 and 46023. The biggest common factor number is the GCF number.
So the greatest common factor 46004 and 46023 is 1.

Also check out the Least Common Multiple of 46004 and 46023