What is the Greatest Common Factor of 51723 and 51730?

Greatest common factor (GCF) of 51723 and 51730 is 7.

GCF(51723,51730) = 7

We will now calculate the prime factors of 51723 and 51730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51723 and 51730.

How to find the GCF of 51723 and 51730?

We will first find the prime factorization of 51723 and 51730. After we will calculate the factors of 51723 and 51730 and find the biggest common factor number .

Step-1: Prime Factorization of 51723

Prime factors of 51723 are 3, 7, 821. Prime factorization of 51723 in exponential form is:

51723 = 3² × 7¹ × 821¹

Step-2: 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-3: Factors of 51723

List of positive integer factors of 51723 that divides 51723 without a remainder.

1, 3, 7, 9, 21, 63, 821, 2463, 5747, 7389, 17241

Step-4: Factors of 51730

List of positive integer factors of 51730 that divides 51723 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51723 and 51730. The biggest common factor number is the GCF number.
So the greatest common factor 51723 and 51730 is 7.

Also check out the Least Common Multiple of 51723 and 51730