What is the Greatest Common Factor of 46854 and 46872?

Greatest common factor (GCF) of 46854 and 46872 is 18.

GCF(46854,46872) = 18

We will now calculate the prime factors of 46854 and 46872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46854 and 46872.

How to find the GCF of 46854 and 46872?

We will first find the prime factorization of 46854 and 46872. After we will calculate the factors of 46854 and 46872 and find the biggest common factor number .

Step-1: Prime Factorization of 46854

Prime factors of 46854 are 2, 3, 19, 137. Prime factorization of 46854 in exponential form is:

46854 = 2¹ × 3² × 19¹ × 137¹

Step-2: Prime Factorization of 46872

Prime factors of 46872 are 2, 3, 7, 31. Prime factorization of 46872 in exponential form is:

46872 = 2³ × 3³ × 7¹ × 31¹

Step-3: Factors of 46854

List of positive integer factors of 46854 that divides 46854 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 137, 171, 274, 342, 411, 822, 1233, 2466, 2603, 5206, 7809, 15618, 23427

Step-4: Factors of 46872

List of positive integer factors of 46872 that divides 46854 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 31, 36, 42, 54, 56, 62, 63, 72, 84, 93, 108, 124, 126, 168, 186, 189, 216, 217, 248, 252, 279, 372, 378, 434, 504, 558, 651, 744, 756, 837, 868, 1116, 1302, 1512, 1674, 1736, 1953, 2232, 2604, 3348, 3906, 5208, 5859, 6696, 7812, 11718, 15624, 23436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46854 and 46872. The biggest common factor number is the GCF number.
So the greatest common factor 46854 and 46872 is 18.

Also check out the Least Common Multiple of 46854 and 46872