What is the Greatest Common Factor of 46686 and 46694?

Greatest common factor (GCF) of 46686 and 46694 is 2.

GCF(46686,46694) = 2

We will now calculate the prime factors of 46686 and 46694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46686 and 46694.

How to find the GCF of 46686 and 46694?

We will first find the prime factorization of 46686 and 46694. After we will calculate the factors of 46686 and 46694 and find the biggest common factor number .

Step-1: Prime Factorization of 46686

Prime factors of 46686 are 2, 3, 31, 251. Prime factorization of 46686 in exponential form is:

46686 = 2¹ × 3¹ × 31¹ × 251¹

Step-2: Prime Factorization of 46694

Prime factors of 46694 are 2, 37, 631. Prime factorization of 46694 in exponential form is:

46694 = 2¹ × 37¹ × 631¹

Step-3: Factors of 46686

List of positive integer factors of 46686 that divides 46686 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 251, 502, 753, 1506, 7781, 15562, 23343

Step-4: Factors of 46694

List of positive integer factors of 46694 that divides 46686 without a remainder.

1, 2, 37, 74, 631, 1262, 23347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46686 and 46694. The biggest common factor number is the GCF number.
So the greatest common factor 46686 and 46694 is 2.

Also check out the Least Common Multiple of 46686 and 46694