What is the Greatest Common Factor of 46872 and 46881?

Greatest common factor (GCF) of 46872 and 46881 is 9.

GCF(46872,46881) = 9

We will now calculate the prime factors of 46872 and 46881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46872 and 46881.

How to find the GCF of 46872 and 46881?

We will first find the prime factorization of 46872 and 46881. After we will calculate the factors of 46872 and 46881 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46881

Prime factors of 46881 are 3, 5209. Prime factorization of 46881 in exponential form is:

46881 = 3² × 5209¹

Step-3: Factors of 46872

List of positive integer factors of 46872 that divides 46872 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

Step-4: Factors of 46881

List of positive integer factors of 46881 that divides 46872 without a remainder.

1, 3, 9, 5209, 15627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46872 and 46881. The biggest common factor number is the GCF number.
So the greatest common factor 46872 and 46881 is 9.

Also check out the Least Common Multiple of 46872 and 46881