What is the Greatest Common Factor of 46449 and 46464?

Greatest common factor (GCF) of 46449 and 46464 is 3.

GCF(46449,46464) = 3

We will now calculate the prime factors of 46449 and 46464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46449 and 46464.

How to find the GCF of 46449 and 46464?

We will first find the prime factorization of 46449 and 46464. After we will calculate the factors of 46449 and 46464 and find the biggest common factor number .

Step-1: Prime Factorization of 46449

Prime factors of 46449 are 3, 13, 397. Prime factorization of 46449 in exponential form is:

46449 = 3² × 13¹ × 397¹

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 46449

List of positive integer factors of 46449 that divides 46449 without a remainder.

1, 3, 9, 13, 39, 117, 397, 1191, 3573, 5161, 15483

Step-4: Factors of 46464

List of positive integer factors of 46464 that divides 46449 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 46449 and 46464. The biggest common factor number is the GCF number.
So the greatest common factor 46449 and 46464 is 3.

Also check out the Least Common Multiple of 46449 and 46464