What is the Greatest Common Factor of 51678 and 51688?

Greatest common factor (GCF) of 51678 and 51688 is 2.

GCF(51678,51688) = 2

We will now calculate the prime factors of 51678 and 51688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51678 and 51688.

How to find the GCF of 51678 and 51688?

We will first find the prime factorization of 51678 and 51688. After we will calculate the factors of 51678 and 51688 and find the biggest common factor number .

Step-1: Prime Factorization of 51678

Prime factors of 51678 are 2, 3, 11, 29. Prime factorization of 51678 in exponential form is:

51678 = 2¹ × 3⁴ × 11¹ × 29¹

Step-2: Prime Factorization of 51688

Prime factors of 51688 are 2, 7, 13, 71. Prime factorization of 51688 in exponential form is:

51688 = 2³ × 7¹ × 13¹ × 71¹

Step-3: Factors of 51678

List of positive integer factors of 51678 that divides 51678 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 29, 33, 54, 58, 66, 81, 87, 99, 162, 174, 198, 261, 297, 319, 522, 594, 638, 783, 891, 957, 1566, 1782, 1914, 2349, 2871, 4698, 5742, 8613, 17226, 25839

Step-4: Factors of 51688

List of positive integer factors of 51688 that divides 51678 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 71, 91, 104, 142, 182, 284, 364, 497, 568, 728, 923, 994, 1846, 1988, 3692, 3976, 6461, 7384, 12922, 25844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51678 and 51688. The biggest common factor number is the GCF number.
So the greatest common factor 51678 and 51688 is 2.

Also check out the Least Common Multiple of 51678 and 51688