What is the Greatest Common Factor of 46678 and 46682?

Greatest common factor (GCF) of 46678 and 46682 is 2.

GCF(46678,46682) = 2

We will now calculate the prime factors of 46678 and 46682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46678 and 46682.

How to find the GCF of 46678 and 46682?

We will first find the prime factorization of 46678 and 46682. After we will calculate the factors of 46678 and 46682 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 46682

Prime factors of 46682 are 2, 17, 1373. Prime factorization of 46682 in exponential form is:

46682 = 2¹ × 17¹ × 1373¹

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 46682

List of positive integer factors of 46682 that divides 46678 without a remainder.

1, 2, 17, 34, 1373, 2746, 23341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46678 and 46682. The biggest common factor number is the GCF number.
So the greatest common factor 46678 and 46682 is 2.

Also check out the Least Common Multiple of 46678 and 46682