What is the Greatest Common Factor of 46875 and 46891?

Greatest common factor (GCF) of 46875 and 46891 is 1.

GCF(46875,46891) = 1

We will now calculate the prime factors of 46875 and 46891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46875 and 46891.

How to find the GCF of 46875 and 46891?

We will first find the prime factorization of 46875 and 46891. After we will calculate the factors of 46875 and 46891 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 46891

Prime factors of 46891 are 13, 3607. Prime factorization of 46891 in exponential form is:

46891 = 13¹ × 3607¹

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 46891

List of positive integer factors of 46891 that divides 46875 without a remainder.

1, 13, 3607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46875 and 46891. The biggest common factor number is the GCF number.
So the greatest common factor 46875 and 46891 is 1.

Also check out the Least Common Multiple of 46875 and 46891