What is the Greatest Common Factor of 46872 and 46890?

Greatest common factor (GCF) of 46872 and 46890 is 18.

GCF(46872,46890) = 18

We will now calculate the prime factors of 46872 and 46890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46872 and 46890.

How to find the GCF of 46872 and 46890?

We will first find the prime factorization of 46872 and 46890. After we will calculate the factors of 46872 and 46890 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 46890

Prime factors of 46890 are 2, 3, 5, 521. Prime factorization of 46890 in exponential form is:

46890 = 2¹ × 3² × 5¹ × 521¹

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 46890

List of positive integer factors of 46890 that divides 46872 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 521, 1042, 1563, 2605, 3126, 4689, 5210, 7815, 9378, 15630, 23445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46872 and 46890. The biggest common factor number is the GCF number.
So the greatest common factor 46872 and 46890 is 18.

Also check out the Least Common Multiple of 46872 and 46890