What is the Greatest Common Factor of 46890 and 46908?

Greatest common factor (GCF) of 46890 and 46908 is 18.

GCF(46890,46908) = 18

We will now calculate the prime factors of 46890 and 46908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46890 and 46908.

How to find the GCF of 46890 and 46908?

We will first find the prime factorization of 46890 and 46908. After we will calculate the factors of 46890 and 46908 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46908

Prime factors of 46908 are 2, 3, 1303. Prime factorization of 46908 in exponential form is:

46908 = 2² × 3² × 1303¹

Step-3: Factors of 46890

List of positive integer factors of 46890 that divides 46890 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

Step-4: Factors of 46908

List of positive integer factors of 46908 that divides 46890 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1303, 2606, 3909, 5212, 7818, 11727, 15636, 23454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46890 and 46908. The biggest common factor number is the GCF number.
So the greatest common factor 46890 and 46908 is 18.

Also check out the Least Common Multiple of 46890 and 46908