What is the Greatest Common Factor of 46416 and 46434?

Greatest common factor (GCF) of 46416 and 46434 is 6.

GCF(46416,46434) = 6

We will now calculate the prime factors of 46416 and 46434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46416 and 46434.

How to find the GCF of 46416 and 46434?

We will first find the prime factorization of 46416 and 46434. After we will calculate the factors of 46416 and 46434 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 46434

Prime factors of 46434 are 2, 3, 71, 109. Prime factorization of 46434 in exponential form is:

46434 = 2¹ × 3¹ × 71¹ × 109¹

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 46434

List of positive integer factors of 46434 that divides 46416 without a remainder.

1, 2, 3, 6, 71, 109, 142, 213, 218, 327, 426, 654, 7739, 15478, 23217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46416 and 46434. The biggest common factor number is the GCF number.
So the greatest common factor 46416 and 46434 is 6.

Also check out the Least Common Multiple of 46416 and 46434