What is the Greatest Common Factor of 46284 and 46300?

Greatest common factor (GCF) of 46284 and 46300 is 4.

GCF(46284,46300) = 4

We will now calculate the prime factors of 46284 and 46300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46284 and 46300.

How to find the GCF of 46284 and 46300?

We will first find the prime factorization of 46284 and 46300. After we will calculate the factors of 46284 and 46300 and find the biggest common factor number .

Step-1: Prime Factorization of 46284

Prime factors of 46284 are 2, 3, 7, 19, 29. Prime factorization of 46284 in exponential form is:

46284 = 2² × 3¹ × 7¹ × 19¹ × 29¹

Step-2: Prime Factorization of 46300

Prime factors of 46300 are 2, 5, 463. Prime factorization of 46300 in exponential form is:

46300 = 2² × 5² × 463¹

Step-3: Factors of 46284

List of positive integer factors of 46284 that divides 46284 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 29, 38, 42, 57, 58, 76, 84, 87, 114, 116, 133, 174, 203, 228, 266, 348, 399, 406, 532, 551, 609, 798, 812, 1102, 1218, 1596, 1653, 2204, 2436, 3306, 3857, 6612, 7714, 11571, 15428, 23142

Step-4: Factors of 46300

List of positive integer factors of 46300 that divides 46284 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 463, 926, 1852, 2315, 4630, 9260, 11575, 23150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46284 and 46300. The biggest common factor number is the GCF number.
So the greatest common factor 46284 and 46300 is 4.

Also check out the Least Common Multiple of 46284 and 46300