What is the Greatest Common Factor of 46464 and 46484?

Greatest common factor (GCF) of 46464 and 46484 is 4.

GCF(46464,46484) = 4

We will now calculate the prime factors of 46464 and 46484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46464 and 46484.

How to find the GCF of 46464 and 46484?

We will first find the prime factorization of 46464 and 46484. After we will calculate the factors of 46464 and 46484 and find the biggest common factor number .

Step-1: Prime Factorization of 46464

Prime factors of 46464 are 2, 3, 11. Prime factorization of 46464 in exponential form is:

46464 = 2⁷ × 3¹ × 11²

Step-2: Prime Factorization of 46484

Prime factors of 46484 are 2, 11621. Prime factorization of 46484 in exponential form is:

46484 = 2² × 11621¹

Step-3: Factors of 46464

List of positive integer factors of 46464 that divides 46464 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 121, 128, 132, 176, 192, 242, 264, 352, 363, 384, 484, 528, 704, 726, 968, 1056, 1408, 1452, 1936, 2112, 2904, 3872, 4224, 5808, 7744, 11616, 15488, 23232

Step-4: Factors of 46484

List of positive integer factors of 46484 that divides 46464 without a remainder.

1, 2, 4, 11621, 23242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46464 and 46484. The biggest common factor number is the GCF number.
So the greatest common factor 46464 and 46484 is 4.

Also check out the Least Common Multiple of 46464 and 46484