What is the Greatest Common Factor of 46875 and 46893?

Greatest common factor (GCF) of 46875 and 46893 is 3.

GCF(46875,46893) = 3

We will now calculate the prime factors of 46875 and 46893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46875 and 46893.

How to find the GCF of 46875 and 46893?

We will first find the prime factorization of 46875 and 46893. After we will calculate the factors of 46875 and 46893 and find the biggest common factor number .

Step-1: Prime Factorization of 46875

Prime factors of 46875 are 3, 5. Prime factorization of 46875 in exponential form is:

46875 = 3¹ × 5⁶

Step-2: 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-3: Factors of 46875

List of positive integer factors of 46875 that divides 46875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375, 15625

Step-4: Factors of 46893

List of positive integer factors of 46893 that divides 46875 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46875 and 46893. The biggest common factor number is the GCF number.
So the greatest common factor 46875 and 46893 is 3.

Also check out the Least Common Multiple of 46875 and 46893