What is the Greatest Common Factor of 51765 and 51783?

Greatest common factor (GCF) of 51765 and 51783 is 3.

GCF(51765,51783) = 3

We will now calculate the prime factors of 51765 and 51783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51765 and 51783.

How to find the GCF of 51765 and 51783?

We will first find the prime factorization of 51765 and 51783. After we will calculate the factors of 51765 and 51783 and find the biggest common factor number .

Step-1: Prime Factorization of 51765

Prime factors of 51765 are 3, 5, 7, 17, 29. Prime factorization of 51765 in exponential form is:

51765 = 3¹ × 5¹ × 7¹ × 17¹ × 29¹

Step-2: 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-3: Factors of 51765

List of positive integer factors of 51765 that divides 51765 without a remainder.

1, 3, 5, 7, 15, 17, 21, 29, 35, 51, 85, 87, 105, 119, 145, 203, 255, 357, 435, 493, 595, 609, 1015, 1479, 1785, 2465, 3045, 3451, 7395, 10353, 17255

Step-4: Factors of 51783

List of positive integer factors of 51783 that divides 51765 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51765 and 51783. The biggest common factor number is the GCF number.
So the greatest common factor 51765 and 51783 is 3.

Also check out the Least Common Multiple of 51765 and 51783