What is the Greatest Common Factor of 46986 and 46993?

Greatest common factor (GCF) of 46986 and 46993 is 1.

GCF(46986,46993) = 1

We will now calculate the prime factors of 46986 and 46993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46986 and 46993.

How to find the GCF of 46986 and 46993?

We will first find the prime factorization of 46986 and 46993. After we will calculate the factors of 46986 and 46993 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 46993

Prime factors of 46993 are 46993. Prime factorization of 46993 in exponential form is:

46993 = 46993¹

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 46993

List of positive integer factors of 46993 that divides 46986 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46986 and 46993. The biggest common factor number is the GCF number.
So the greatest common factor 46986 and 46993 is 1.

Also check out the Least Common Multiple of 46986 and 46993