What is the Greatest Common Factor of 46448 and 46464?

Greatest common factor (GCF) of 46448 and 46464 is 16.

GCF(46448,46464) = 16

We will now calculate the prime factors of 46448 and 46464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46448 and 46464.

How to find the GCF of 46448 and 46464?

We will first find the prime factorization of 46448 and 46464. After we will calculate the factors of 46448 and 46464 and find the biggest common factor number .

Step-1: Prime Factorization of 46448

Prime factors of 46448 are 2, 2903. Prime factorization of 46448 in exponential form is:

46448 = 2⁴ × 2903¹

Step-2: 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-3: Factors of 46448

List of positive integer factors of 46448 that divides 46448 without a remainder.

1, 2, 4, 8, 16, 2903, 5806, 11612, 23224

Step-4: Factors of 46464

List of positive integer factors of 46464 that divides 46448 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46448 and 46464. The biggest common factor number is the GCF number.
So the greatest common factor 46448 and 46464 is 16.

Also check out the Least Common Multiple of 46448 and 46464