What is the Greatest Common Factor of 51646 and 51664?

Greatest common factor (GCF) of 51646 and 51664 is 2.

GCF(51646,51664) = 2

We will now calculate the prime factors of 51646 and 51664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51646 and 51664.

How to find the GCF of 51646 and 51664?

We will first find the prime factorization of 51646 and 51664. After we will calculate the factors of 51646 and 51664 and find the biggest common factor number .

Step-1: Prime Factorization of 51646

Prime factors of 51646 are 2, 7, 17, 31. Prime factorization of 51646 in exponential form is:

51646 = 2¹ × 7² × 17¹ × 31¹

Step-2: Prime Factorization of 51664

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

51664 = 2⁴ × 3229¹

Step-3: Factors of 51646

List of positive integer factors of 51646 that divides 51646 without a remainder.

1, 2, 7, 14, 17, 31, 34, 49, 62, 98, 119, 217, 238, 434, 527, 833, 1054, 1519, 1666, 3038, 3689, 7378, 25823

Step-4: Factors of 51664

List of positive integer factors of 51664 that divides 51646 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51646 and 51664. The biggest common factor number is the GCF number.
So the greatest common factor 51646 and 51664 is 2.

Also check out the Least Common Multiple of 51646 and 51664