What is the Greatest Common Factor of 46686 and 46700?

Greatest common factor (GCF) of 46686 and 46700 is 2.

GCF(46686,46700) = 2

We will now calculate the prime factors of 46686 and 46700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46686 and 46700.

How to find the GCF of 46686 and 46700?

We will first find the prime factorization of 46686 and 46700. After we will calculate the factors of 46686 and 46700 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 46700

Prime factors of 46700 are 2, 5, 467. Prime factorization of 46700 in exponential form is:

46700 = 2² × 5² × 467¹

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 46700

List of positive integer factors of 46700 that divides 46686 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 467, 934, 1868, 2335, 4670, 9340, 11675, 23350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46686 and 46700. The biggest common factor number is the GCF number.
So the greatest common factor 46686 and 46700 is 2.

Also check out the Least Common Multiple of 46686 and 46700