What is the Greatest Common Factor of 46967 and 46986?

Greatest common factor (GCF) of 46967 and 46986 is 1.

GCF(46967,46986) = 1

We will now calculate the prime factors of 46967 and 46986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46967 and 46986.

How to find the GCF of 46967 and 46986?

We will first find the prime factorization of 46967 and 46986. After we will calculate the factors of 46967 and 46986 and find the biggest common factor number .

Step-1: Prime Factorization of 46967

Prime factors of 46967 are 67, 701. Prime factorization of 46967 in exponential form is:

46967 = 67¹ × 701¹

Step-2: 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-3: Factors of 46967

List of positive integer factors of 46967 that divides 46967 without a remainder.

1, 67, 701

Step-4: Factors of 46986

List of positive integer factors of 46986 that divides 46967 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46967 and 46986. The biggest common factor number is the GCF number.
So the greatest common factor 46967 and 46986 is 1.

Also check out the Least Common Multiple of 46967 and 46986