What is the Greatest Common Factor of 46272 and 46284?

Greatest common factor (GCF) of 46272 and 46284 is 12.

GCF(46272,46284) = 12

We will now calculate the prime factors of 46272 and 46284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46272 and 46284.

How to find the GCF of 46272 and 46284?

We will first find the prime factorization of 46272 and 46284. After we will calculate the factors of 46272 and 46284 and find the biggest common factor number .

Step-1: Prime Factorization of 46272

Prime factors of 46272 are 2, 3, 241. Prime factorization of 46272 in exponential form is:

46272 = 2⁶ × 3¹ × 241¹

Step-2: 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-3: Factors of 46272

List of positive integer factors of 46272 that divides 46272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 241, 482, 723, 964, 1446, 1928, 2892, 3856, 5784, 7712, 11568, 15424, 23136

Step-4: Factors of 46284

List of positive integer factors of 46284 that divides 46272 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46272 and 46284. The biggest common factor number is the GCF number.
So the greatest common factor 46272 and 46284 is 12.

Also check out the Least Common Multiple of 46272 and 46284