What is the Greatest Common Factor of 46893 and 46904?

Greatest common factor (GCF) of 46893 and 46904 is 11.

GCF(46893,46904) = 11

We will now calculate the prime factors of 46893 and 46904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46893 and 46904.

How to find the GCF of 46893 and 46904?

We will first find the prime factorization of 46893 and 46904. After we will calculate the factors of 46893 and 46904 and find the biggest common factor number .

Step-1: Prime Factorization of 46893

Prime factors of 46893 are 3, 7, 11, 29. Prime factorization of 46893 in exponential form is:

46893 = 3¹ × 7² × 11¹ × 29¹

Step-2: Prime Factorization of 46904

Prime factors of 46904 are 2, 11, 13, 41. Prime factorization of 46904 in exponential form is:

46904 = 2³ × 11¹ × 13¹ × 41¹

Step-3: Factors of 46893

List of positive integer factors of 46893 that divides 46893 without a remainder.

1, 3, 7, 11, 21, 29, 33, 49, 77, 87, 147, 203, 231, 319, 539, 609, 957, 1421, 1617, 2233, 4263, 6699, 15631

Step-4: Factors of 46904

List of positive integer factors of 46904 that divides 46893 without a remainder.

1, 2, 4, 8, 11, 13, 22, 26, 41, 44, 52, 82, 88, 104, 143, 164, 286, 328, 451, 533, 572, 902, 1066, 1144, 1804, 2132, 3608, 4264, 5863, 11726, 23452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46893 and 46904. The biggest common factor number is the GCF number.
So the greatest common factor 46893 and 46904 is 11.

Also check out the Least Common Multiple of 46893 and 46904