What is the Greatest Common Factor of 46584 and 46604?

Greatest common factor (GCF) of 46584 and 46604 is 4.

GCF(46584,46604) = 4

We will now calculate the prime factors of 46584 and 46604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46584 and 46604.

How to find the GCF of 46584 and 46604?

We will first find the prime factorization of 46584 and 46604. After we will calculate the factors of 46584 and 46604 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 46604

Prime factors of 46604 are 2, 61, 191. Prime factorization of 46604 in exponential form is:

46604 = 2² × 61¹ × 191¹

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 46604

List of positive integer factors of 46604 that divides 46584 without a remainder.

1, 2, 4, 61, 122, 191, 244, 382, 764, 11651, 23302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46584 and 46604. The biggest common factor number is the GCF number.
So the greatest common factor 46584 and 46604 is 4.

Also check out the Least Common Multiple of 46584 and 46604