What is the Greatest Common Factor of 46859 and 46866?

Greatest common factor (GCF) of 46859 and 46866 is 1.

GCF(46859,46866) = 1

We will now calculate the prime factors of 46859 and 46866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46859 and 46866.

How to find the GCF of 46859 and 46866?

We will first find the prime factorization of 46859 and 46866. After we will calculate the factors of 46859 and 46866 and find the biggest common factor number .

Step-1: Prime Factorization of 46859

Prime factors of 46859 are 47, 997. Prime factorization of 46859 in exponential form is:

46859 = 47¹ × 997¹

Step-2: Prime Factorization of 46866

Prime factors of 46866 are 2, 3, 73, 107. Prime factorization of 46866 in exponential form is:

46866 = 2¹ × 3¹ × 73¹ × 107¹

Step-3: Factors of 46859

List of positive integer factors of 46859 that divides 46859 without a remainder.

1, 47, 997

Step-4: Factors of 46866

List of positive integer factors of 46866 that divides 46859 without a remainder.

1, 2, 3, 6, 73, 107, 146, 214, 219, 321, 438, 642, 7811, 15622, 23433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46859 and 46866. The biggest common factor number is the GCF number.
So the greatest common factor 46859 and 46866 is 1.

Also check out the Least Common Multiple of 46859 and 46866