What is the Greatest Common Factor of 51735 and 51755?

Greatest common factor (GCF) of 51735 and 51755 is 5.

GCF(51735,51755) = 5

We will now calculate the prime factors of 51735 and 51755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51735 and 51755.

How to find the GCF of 51735 and 51755?

We will first find the prime factorization of 51735 and 51755. After we will calculate the factors of 51735 and 51755 and find the biggest common factor number .

Step-1: Prime Factorization of 51735

Prime factors of 51735 are 3, 5, 3449. Prime factorization of 51735 in exponential form is:

51735 = 3¹ × 5¹ × 3449¹

Step-2: Prime Factorization of 51755

Prime factors of 51755 are 5, 11, 941. Prime factorization of 51755 in exponential form is:

51755 = 5¹ × 11¹ × 941¹

Step-3: Factors of 51735

List of positive integer factors of 51735 that divides 51735 without a remainder.

1, 3, 5, 15, 3449, 10347, 17245

Step-4: Factors of 51755

List of positive integer factors of 51755 that divides 51735 without a remainder.

1, 5, 11, 55, 941, 4705, 10351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51735 and 51755. The biggest common factor number is the GCF number.
So the greatest common factor 51735 and 51755 is 5.

Also check out the Least Common Multiple of 51735 and 51755