What is the Greatest Common Factor of 46664 and 46678?

Greatest common factor (GCF) of 46664 and 46678 is 2.

GCF(46664,46678) = 2

We will now calculate the prime factors of 46664 and 46678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46664 and 46678.

How to find the GCF of 46664 and 46678?

We will first find the prime factorization of 46664 and 46678. After we will calculate the factors of 46664 and 46678 and find the biggest common factor number .

Step-1: Prime Factorization of 46664

Prime factors of 46664 are 2, 19, 307. Prime factorization of 46664 in exponential form is:

46664 = 2³ × 19¹ × 307¹

Step-2: Prime Factorization of 46678

Prime factors of 46678 are 2, 23339. Prime factorization of 46678 in exponential form is:

46678 = 2¹ × 23339¹

Step-3: Factors of 46664

List of positive integer factors of 46664 that divides 46664 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 307, 614, 1228, 2456, 5833, 11666, 23332

Step-4: Factors of 46678

List of positive integer factors of 46678 that divides 46664 without a remainder.

1, 2, 23339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46664 and 46678. The biggest common factor number is the GCF number.
So the greatest common factor 46664 and 46678 is 2.

Also check out the Least Common Multiple of 46664 and 46678