What is the Greatest Common Factor of 51783 and 51801?

Greatest common factor (GCF) of 51783 and 51801 is 3.

GCF(51783,51801) = 3

We will now calculate the prime factors of 51783 and 51801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51783 and 51801.

How to find the GCF of 51783 and 51801?

We will first find the prime factorization of 51783 and 51801. After we will calculate the factors of 51783 and 51801 and find the biggest common factor number .

Step-1: Prime Factorization of 51783

Prime factors of 51783 are 3, 41, 421. Prime factorization of 51783 in exponential form is:

51783 = 3¹ × 41¹ × 421¹

Step-2: Prime Factorization of 51801

Prime factors of 51801 are 3, 31, 557. Prime factorization of 51801 in exponential form is:

51801 = 3¹ × 31¹ × 557¹

Step-3: Factors of 51783

List of positive integer factors of 51783 that divides 51783 without a remainder.

1, 3, 41, 123, 421, 1263, 17261

Step-4: Factors of 51801

List of positive integer factors of 51801 that divides 51783 without a remainder.

1, 3, 31, 93, 557, 1671, 17267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51783 and 51801. The biggest common factor number is the GCF number.
So the greatest common factor 51783 and 51801 is 3.

Also check out the Least Common Multiple of 51783 and 51801