What is the Greatest Common Factor of 46464 and 46470?

Greatest common factor (GCF) of 46464 and 46470 is 6.

GCF(46464,46470) = 6

We will now calculate the prime factors of 46464 and 46470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46464 and 46470.

How to find the GCF of 46464 and 46470?

We will first find the prime factorization of 46464 and 46470. After we will calculate the factors of 46464 and 46470 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 46470

Prime factors of 46470 are 2, 3, 5, 1549. Prime factorization of 46470 in exponential form is:

46470 = 2¹ × 3¹ × 5¹ × 1549¹

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 46470

List of positive integer factors of 46470 that divides 46464 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1549, 3098, 4647, 7745, 9294, 15490, 23235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46464 and 46470. The biggest common factor number is the GCF number.
So the greatest common factor 46464 and 46470 is 6.

Also check out the Least Common Multiple of 46464 and 46470