What is the Greatest Common Factor of 46464 and 46475?

Greatest common factor (GCF) of 46464 and 46475 is 11.

GCF(46464,46475) = 11

We will now calculate the prime factors of 46464 and 46475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46464 and 46475.

How to find the GCF of 46464 and 46475?

We will first find the prime factorization of 46464 and 46475. After we will calculate the factors of 46464 and 46475 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 46475

Prime factors of 46475 are 5, 11, 13. Prime factorization of 46475 in exponential form is:

46475 = 5² × 11¹ × 13²

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 46475

List of positive integer factors of 46475 that divides 46464 without a remainder.

1, 5, 11, 13, 25, 55, 65, 143, 169, 275, 325, 715, 845, 1859, 3575, 4225, 9295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46464 and 46475. The biggest common factor number is the GCF number.
So the greatest common factor 46464 and 46475 is 11.

Also check out the Least Common Multiple of 46464 and 46475