What is the Greatest Common Factor of 46986 and 46999?

Greatest common factor (GCF) of 46986 and 46999 is 1.

GCF(46986,46999) = 1

We will now calculate the prime factors of 46986 and 46999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46986 and 46999.

How to find the GCF of 46986 and 46999?

We will first find the prime factorization of 46986 and 46999. After we will calculate the factors of 46986 and 46999 and find the biggest common factor number .

Step-1: Prime Factorization of 46986

Prime factors of 46986 are 2, 3, 41, 191. Prime factorization of 46986 in exponential form is:

46986 = 2¹ × 3¹ × 41¹ × 191¹

Step-2: Prime Factorization of 46999

Prime factors of 46999 are 43, 1093. Prime factorization of 46999 in exponential form is:

46999 = 43¹ × 1093¹

Step-3: Factors of 46986

List of positive integer factors of 46986 that divides 46986 without a remainder.

1, 2, 3, 6, 41, 82, 123, 191, 246, 382, 573, 1146, 7831, 15662, 23493

Step-4: Factors of 46999

List of positive integer factors of 46999 that divides 46986 without a remainder.

1, 43, 1093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46986 and 46999. The biggest common factor number is the GCF number.
So the greatest common factor 46986 and 46999 is 1.

Also check out the Least Common Multiple of 46986 and 46999