What is the Greatest Common Factor of 46728 and 46742?

Greatest common factor (GCF) of 46728 and 46742 is 2.

GCF(46728,46742) = 2

We will now calculate the prime factors of 46728 and 46742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46728 and 46742.

How to find the GCF of 46728 and 46742?

We will first find the prime factorization of 46728 and 46742. After we will calculate the factors of 46728 and 46742 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 46742

Prime factors of 46742 are 2, 23371. Prime factorization of 46742 in exponential form is:

46742 = 2¹ × 23371¹

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 46742

List of positive integer factors of 46742 that divides 46728 without a remainder.

1, 2, 23371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46728 and 46742. The biggest common factor number is the GCF number.
So the greatest common factor 46728 and 46742 is 2.

Also check out the Least Common Multiple of 46728 and 46742