What is the Greatest Common Factor of 46719 and 46728?

Greatest common factor (GCF) of 46719 and 46728 is 9.

GCF(46719,46728) = 9

We will now calculate the prime factors of 46719 and 46728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46719 and 46728.

How to find the GCF of 46719 and 46728?

We will first find the prime factorization of 46719 and 46728. After we will calculate the factors of 46719 and 46728 and find the biggest common factor number .

Step-1: Prime Factorization of 46719

Prime factors of 46719 are 3, 29, 179. Prime factorization of 46719 in exponential form is:

46719 = 3² × 29¹ × 179¹

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 46719

List of positive integer factors of 46719 that divides 46719 without a remainder.

1, 3, 9, 29, 87, 179, 261, 537, 1611, 5191, 15573

Step-4: Factors of 46728

List of positive integer factors of 46728 that divides 46719 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 46719 and 46728. The biggest common factor number is the GCF number.
So the greatest common factor 46719 and 46728 is 9.

Also check out the Least Common Multiple of 46719 and 46728