What is the Greatest Common Factor of 46875 and 46884?

Greatest common factor (GCF) of 46875 and 46884 is 3.

GCF(46875,46884) = 3

We will now calculate the prime factors of 46875 and 46884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46875 and 46884.

How to find the GCF of 46875 and 46884?

We will first find the prime factorization of 46875 and 46884. After we will calculate the factors of 46875 and 46884 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 46884

Prime factors of 46884 are 2, 3, 3907. Prime factorization of 46884 in exponential form is:

46884 = 2² × 3¹ × 3907¹

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 46884

List of positive integer factors of 46884 that divides 46875 without a remainder.

1, 2, 3, 4, 6, 12, 3907, 7814, 11721, 15628, 23442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46875 and 46884. The biggest common factor number is the GCF number.
So the greatest common factor 46875 and 46884 is 3.

Also check out the Least Common Multiple of 46875 and 46884