What is the Greatest Common Factor of 51710 and 51730?

Greatest common factor (GCF) of 51710 and 51730 is 10.

GCF(51710,51730) = 10

We will now calculate the prime factors of 51710 and 51730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51710 and 51730.

How to find the GCF of 51710 and 51730?

We will first find the prime factorization of 51710 and 51730. After we will calculate the factors of 51710 and 51730 and find the biggest common factor number .

Step-1: Prime Factorization of 51710

Prime factors of 51710 are 2, 5, 5171. Prime factorization of 51710 in exponential form is:

51710 = 2¹ × 5¹ × 5171¹

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 51710

List of positive integer factors of 51710 that divides 51710 without a remainder.

1, 2, 5, 10, 5171, 10342, 25855

Step-4: Factors of 51730

List of positive integer factors of 51730 that divides 51710 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 51710 and 51730. The biggest common factor number is the GCF number.
So the greatest common factor 51710 and 51730 is 10.

Also check out the Least Common Multiple of 51710 and 51730