What is the Greatest Common Factor of 46584 and 46600?

Greatest common factor (GCF) of 46584 and 46600 is 8.

GCF(46584,46600) = 8

We will now calculate the prime factors of 46584 and 46600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46584 and 46600.

How to find the GCF of 46584 and 46600?

We will first find the prime factorization of 46584 and 46600. After we will calculate the factors of 46584 and 46600 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 46600

Prime factors of 46600 are 2, 5, 233. Prime factorization of 46600 in exponential form is:

46600 = 2³ × 5² × 233¹

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 46600

List of positive integer factors of 46600 that divides 46584 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 233, 466, 932, 1165, 1864, 2330, 4660, 5825, 9320, 11650, 23300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46584 and 46600. The biggest common factor number is the GCF number.
So the greatest common factor 46584 and 46600 is 8.

Also check out the Least Common Multiple of 46584 and 46600