What is the Greatest Common Factor of 46713 and 46728?

Greatest common factor (GCF) of 46713 and 46728 is 3.

GCF(46713,46728) = 3

We will now calculate the prime factors of 46713 and 46728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46713 and 46728.

How to find the GCF of 46713 and 46728?

We will first find the prime factorization of 46713 and 46728. After we will calculate the factors of 46713 and 46728 and find the biggest common factor number .

Step-1: Prime Factorization of 46713

Prime factors of 46713 are 3, 23, 677. Prime factorization of 46713 in exponential form is:

46713 = 3¹ × 23¹ × 677¹

Step-2: Prime Factorization of 46728

Prime factors of 46728 are 2, 3, 11, 59. Prime factorization of 46728 in exponential form is:

46728 = 2³ × 3² × 11¹ × 59¹

Step-3: Factors of 46713

List of positive integer factors of 46713 that divides 46713 without a remainder.

1, 3, 23, 69, 677, 2031, 15571

Step-4: Factors of 46728

List of positive integer factors of 46728 that divides 46713 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 59, 66, 72, 88, 99, 118, 132, 177, 198, 236, 264, 354, 396, 472, 531, 649, 708, 792, 1062, 1298, 1416, 1947, 2124, 2596, 3894, 4248, 5192, 5841, 7788, 11682, 15576, 23364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46713 and 46728. The biggest common factor number is the GCF number.
So the greatest common factor 46713 and 46728 is 3.

Also check out the Least Common Multiple of 46713 and 46728