What is the Greatest Common Factor of 51730 and 51735?

Greatest common factor (GCF) of 51730 and 51735 is 5.

GCF(51730,51735) = 5

We will now calculate the prime factors of 51730 and 51735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51730 and 51735.

How to find the GCF of 51730 and 51735?

We will first find the prime factorization of 51730 and 51735. After we will calculate the factors of 51730 and 51735 and find the biggest common factor number .

Step-1: Prime Factorization of 51730

Prime factors of 51730 are 2, 5, 7, 739. Prime factorization of 51730 in exponential form is:

51730 = 2¹ × 5¹ × 7¹ × 739¹

Step-2: 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-3: Factors of 51730

List of positive integer factors of 51730 that divides 51730 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 739, 1478, 3695, 5173, 7390, 10346, 25865

Step-4: Factors of 51735

List of positive integer factors of 51735 that divides 51730 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51730 and 51735. The biggest common factor number is the GCF number.
So the greatest common factor 51730 and 51735 is 5.

Also check out the Least Common Multiple of 51730 and 51735