What is the Greatest Common Factor of 46284 and 46298?

Greatest common factor (GCF) of 46284 and 46298 is 14.

GCF(46284,46298) = 14

We will now calculate the prime factors of 46284 and 46298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46284 and 46298.

How to find the GCF of 46284 and 46298?

We will first find the prime factorization of 46284 and 46298. After we will calculate the factors of 46284 and 46298 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 46298

Prime factors of 46298 are 2, 7, 3307. Prime factorization of 46298 in exponential form is:

46298 = 2¹ × 7¹ × 3307¹

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 46298

List of positive integer factors of 46298 that divides 46284 without a remainder.

1, 2, 7, 14, 3307, 6614, 23149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46284 and 46298. The biggest common factor number is the GCF number.
So the greatest common factor 46284 and 46298 is 14.

Also check out the Least Common Multiple of 46284 and 46298