What is the Greatest Common Factor of 46664 and 46683?

Greatest common factor (GCF) of 46664 and 46683 is 19.

GCF(46664,46683) = 19

We will now calculate the prime factors of 46664 and 46683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46664 and 46683.

How to find the GCF of 46664 and 46683?

We will first find the prime factorization of 46664 and 46683. After we will calculate the factors of 46664 and 46683 and find the biggest common factor number .

Step-1: Prime Factorization of 46664

Prime factors of 46664 are 2, 19, 307. Prime factorization of 46664 in exponential form is:

46664 = 2³ × 19¹ × 307¹

Step-2: 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-3: Factors of 46664

List of positive integer factors of 46664 that divides 46664 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 307, 614, 1228, 2456, 5833, 11666, 23332

Step-4: Factors of 46683

List of positive integer factors of 46683 that divides 46664 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46664 and 46683. The biggest common factor number is the GCF number.
So the greatest common factor 46664 and 46683 is 19.

Also check out the Least Common Multiple of 46664 and 46683