What is the Greatest Common Factor of 46683 and 46701?

Greatest common factor (GCF) of 46683 and 46701 is 9.

GCF(46683,46701) = 9

We will now calculate the prime factors of 46683 and 46701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46683 and 46701.

How to find the GCF of 46683 and 46701?

We will first find the prime factorization of 46683 and 46701. After we will calculate the factors of 46683 and 46701 and find the biggest common factor number .

Step-1: Prime Factorization of 46683

Prime factors of 46683 are 3, 7, 13, 19. Prime factorization of 46683 in exponential form is:

46683 = 3³ × 7¹ × 13¹ × 19¹

Step-2: Prime Factorization of 46701

Prime factors of 46701 are 3, 5189. Prime factorization of 46701 in exponential form is:

46701 = 3² × 5189¹

Step-3: Factors of 46683

List of positive integer factors of 46683 that divides 46683 without a remainder.

1, 3, 7, 9, 13, 19, 21, 27, 39, 57, 63, 91, 117, 133, 171, 189, 247, 273, 351, 399, 513, 741, 819, 1197, 1729, 2223, 2457, 3591, 5187, 6669, 15561

Step-4: Factors of 46701

List of positive integer factors of 46701 that divides 46683 without a remainder.

1, 3, 9, 5189, 15567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46683 and 46701. The biggest common factor number is the GCF number.
So the greatest common factor 46683 and 46701 is 9.

Also check out the Least Common Multiple of 46683 and 46701