What is the Greatest Common Factor of 46416 and 46422?

Greatest common factor (GCF) of 46416 and 46422 is 6.

GCF(46416,46422) = 6

We will now calculate the prime factors of 46416 and 46422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46416 and 46422.

How to find the GCF of 46416 and 46422?

We will first find the prime factorization of 46416 and 46422. After we will calculate the factors of 46416 and 46422 and find the biggest common factor number .

Step-1: Prime Factorization of 46416

Prime factors of 46416 are 2, 3, 967. Prime factorization of 46416 in exponential form is:

46416 = 2⁴ × 3¹ × 967¹

Step-2: Prime Factorization of 46422

Prime factors of 46422 are 2, 3, 2579. Prime factorization of 46422 in exponential form is:

46422 = 2¹ × 3² × 2579¹

Step-3: Factors of 46416

List of positive integer factors of 46416 that divides 46416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 967, 1934, 2901, 3868, 5802, 7736, 11604, 15472, 23208

Step-4: Factors of 46422

List of positive integer factors of 46422 that divides 46416 without a remainder.

1, 2, 3, 6, 9, 18, 2579, 5158, 7737, 15474, 23211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46416 and 46422. The biggest common factor number is the GCF number.
So the greatest common factor 46416 and 46422 is 6.

Also check out the Least Common Multiple of 46416 and 46422