What is the Greatest Common Factor of 51664 and 51682?

Greatest common factor (GCF) of 51664 and 51682 is 2.

GCF(51664,51682) = 2

We will now calculate the prime factors of 51664 and 51682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51664 and 51682.

How to find the GCF of 51664 and 51682?

We will first find the prime factorization of 51664 and 51682. After we will calculate the factors of 51664 and 51682 and find the biggest common factor number .

Step-1: Prime Factorization of 51664

Prime factors of 51664 are 2, 3229. Prime factorization of 51664 in exponential form is:

51664 = 2⁴ × 3229¹

Step-2: Prime Factorization of 51682

Prime factors of 51682 are 2, 25841. Prime factorization of 51682 in exponential form is:

51682 = 2¹ × 25841¹

Step-3: Factors of 51664

List of positive integer factors of 51664 that divides 51664 without a remainder.

1, 2, 4, 8, 16, 3229, 6458, 12916, 25832

Step-4: Factors of 51682

List of positive integer factors of 51682 that divides 51664 without a remainder.

1, 2, 25841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51664 and 51682. The biggest common factor number is the GCF number.
So the greatest common factor 51664 and 51682 is 2.

Also check out the Least Common Multiple of 51664 and 51682