What is the Greatest Common Factor of 46678 and 46684?

Greatest common factor (GCF) of 46678 and 46684 is 2.

GCF(46678,46684) = 2

We will now calculate the prime factors of 46678 and 46684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46678 and 46684.

How to find the GCF of 46678 and 46684?

We will first find the prime factorization of 46678 and 46684. After we will calculate the factors of 46678 and 46684 and find the biggest common factor number .

Step-1: Prime Factorization of 46678

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

46678 = 2¹ × 23339¹

Step-2: Prime Factorization of 46684

Prime factors of 46684 are 2, 11, 1061. Prime factorization of 46684 in exponential form is:

46684 = 2² × 11¹ × 1061¹

Step-3: Factors of 46678

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

1, 2, 23339

Step-4: Factors of 46684

List of positive integer factors of 46684 that divides 46678 without a remainder.

1, 2, 4, 11, 22, 44, 1061, 2122, 4244, 11671, 23342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46678 and 46684. The biggest common factor number is the GCF number.
So the greatest common factor 46678 and 46684 is 2.

Also check out the Least Common Multiple of 46678 and 46684