What is the Greatest Common Factor of 46584 and 46601?

Greatest common factor (GCF) of 46584 and 46601 is 1.

GCF(46584,46601) = 1

We will now calculate the prime factors of 46584 and 46601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46584 and 46601.

How to find the GCF of 46584 and 46601?

We will first find the prime factorization of 46584 and 46601. After we will calculate the factors of 46584 and 46601 and find the biggest common factor number .

Step-1: Prime Factorization of 46584

Prime factors of 46584 are 2, 3, 647. Prime factorization of 46584 in exponential form is:

46584 = 2³ × 3² × 647¹

Step-2: Prime Factorization of 46601

Prime factors of 46601 are 46601. Prime factorization of 46601 in exponential form is:

46601 = 46601¹

Step-3: Factors of 46584

List of positive integer factors of 46584 that divides 46584 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 647, 1294, 1941, 2588, 3882, 5176, 5823, 7764, 11646, 15528, 23292

Step-4: Factors of 46601

List of positive integer factors of 46601 that divides 46584 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46584 and 46601. The biggest common factor number is the GCF number.
So the greatest common factor 46584 and 46601 is 1.

Also check out the Least Common Multiple of 46584 and 46601