What is the Greatest Common Factor of 51688 and 51701?

Greatest common factor (GCF) of 51688 and 51701 is 13.

GCF(51688,51701) = 13

We will now calculate the prime factors of 51688 and 51701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51688 and 51701.

How to find the GCF of 51688 and 51701?

We will first find the prime factorization of 51688 and 51701. After we will calculate the factors of 51688 and 51701 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51701

Prime factors of 51701 are 13, 41, 97. Prime factorization of 51701 in exponential form is:

51701 = 13¹ × 41¹ × 97¹

Step-3: Factors of 51688

List of positive integer factors of 51688 that divides 51688 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

Step-4: Factors of 51701

List of positive integer factors of 51701 that divides 51688 without a remainder.

1, 13, 41, 97, 533, 1261, 3977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51688 and 51701. The biggest common factor number is the GCF number.
So the greatest common factor 51688 and 51701 is 13.

Also check out the Least Common Multiple of 51688 and 51701