What is the Greatest Common Factor of 46686 and 46695?

Greatest common factor (GCF) of 46686 and 46695 is 3.

GCF(46686,46695) = 3

We will now calculate the prime factors of 46686 and 46695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46686 and 46695.

How to find the GCF of 46686 and 46695?

We will first find the prime factorization of 46686 and 46695. After we will calculate the factors of 46686 and 46695 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 46695

Prime factors of 46695 are 3, 5, 11, 283. Prime factorization of 46695 in exponential form is:

46695 = 3¹ × 5¹ × 11¹ × 283¹

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 46695

List of positive integer factors of 46695 that divides 46686 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 283, 849, 1415, 3113, 4245, 9339, 15565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46686 and 46695. The biggest common factor number is the GCF number.
So the greatest common factor 46686 and 46695 is 3.

Also check out the Least Common Multiple of 46686 and 46695