What is the Greatest Common Factor of 46986 and 47003?

Greatest common factor (GCF) of 46986 and 47003 is 1.

GCF(46986,47003) = 1

We will now calculate the prime factors of 46986 and 47003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46986 and 47003.

How to find the GCF of 46986 and 47003?

We will first find the prime factorization of 46986 and 47003. After we will calculate the factors of 46986 and 47003 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 47003

Prime factors of 47003 are 11, 4273. Prime factorization of 47003 in exponential form is:

47003 = 11¹ × 4273¹

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 47003

List of positive integer factors of 47003 that divides 46986 without a remainder.

1, 11, 4273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46986 and 47003. The biggest common factor number is the GCF number.
So the greatest common factor 46986 and 47003 is 1.

Also check out the Least Common Multiple of 46986 and 47003