What is the Greatest Common Factor of 46728 and 46734?

Greatest common factor (GCF) of 46728 and 46734 is 6.

GCF(46728,46734) = 6

We will now calculate the prime factors of 46728 and 46734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46728 and 46734.

How to find the GCF of 46728 and 46734?

We will first find the prime factorization of 46728 and 46734. After we will calculate the factors of 46728 and 46734 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46734

Prime factors of 46734 are 2, 3, 7789. Prime factorization of 46734 in exponential form is:

46734 = 2¹ × 3¹ × 7789¹

Step-3: Factors of 46728

List of positive integer factors of 46728 that divides 46728 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

Step-4: Factors of 46734

List of positive integer factors of 46734 that divides 46728 without a remainder.

1, 2, 3, 6, 7789, 15578, 23367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46728 and 46734. The biggest common factor number is the GCF number.
So the greatest common factor 46728 and 46734 is 6.

Also check out the Least Common Multiple of 46728 and 46734