What is the Greatest Common Factor of 46722 and 46728?

Greatest common factor (GCF) of 46722 and 46728 is 6.

GCF(46722,46728) = 6

We will now calculate the prime factors of 46722 and 46728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46722 and 46728.

How to find the GCF of 46722 and 46728?

We will first find the prime factorization of 46722 and 46728. After we will calculate the factors of 46722 and 46728 and find the biggest common factor number .

Step-1: Prime Factorization of 46722

Prime factors of 46722 are 2, 3, 13, 599. Prime factorization of 46722 in exponential form is:

46722 = 2¹ × 3¹ × 13¹ × 599¹

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 46722

List of positive integer factors of 46722 that divides 46722 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 599, 1198, 1797, 3594, 7787, 15574, 23361

Step-4: Factors of 46728

List of positive integer factors of 46728 that divides 46722 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 46722 and 46728. The biggest common factor number is the GCF number.
So the greatest common factor 46722 and 46728 is 6.

Also check out the Least Common Multiple of 46722 and 46728