What is the Greatest Common Factor of 46875 and 46890?

Greatest common factor (GCF) of 46875 and 46890 is 15.

GCF(46875,46890) = 15

We will now calculate the prime factors of 46875 and 46890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46875 and 46890.

How to find the GCF of 46875 and 46890?

We will first find the prime factorization of 46875 and 46890. After we will calculate the factors of 46875 and 46890 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 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 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 46890

List of positive integer factors of 46890 that divides 46875 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 46875 and 46890. The biggest common factor number is the GCF number.
So the greatest common factor 46875 and 46890 is 15.

Also check out the Least Common Multiple of 46875 and 46890