What is the Greatest Common Factor of 46976 and 46982?

Greatest common factor (GCF) of 46976 and 46982 is 2.

GCF(46976,46982) = 2

We will now calculate the prime factors of 46976 and 46982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46976 and 46982.

How to find the GCF of 46976 and 46982?

We will first find the prime factorization of 46976 and 46982. After we will calculate the factors of 46976 and 46982 and find the biggest common factor number .

Step-1: Prime Factorization of 46976

Prime factors of 46976 are 2, 367. Prime factorization of 46976 in exponential form is:

46976 = 2⁷ × 367¹

Step-2: Prime Factorization of 46982

Prime factors of 46982 are 2, 13, 139. Prime factorization of 46982 in exponential form is:

46982 = 2¹ × 13² × 139¹

Step-3: Factors of 46976

List of positive integer factors of 46976 that divides 46976 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 367, 734, 1468, 2936, 5872, 11744, 23488

Step-4: Factors of 46982

List of positive integer factors of 46982 that divides 46976 without a remainder.

1, 2, 13, 26, 139, 169, 278, 338, 1807, 3614, 23491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46976 and 46982. The biggest common factor number is the GCF number.
So the greatest common factor 46976 and 46982 is 2.

Also check out the Least Common Multiple of 46976 and 46982