What is the Greatest Common Factor of 51730 and 51740?

Greatest common factor (GCF) of 51730 and 51740 is 10.

GCF(51730,51740) = 10

We will now calculate the prime factors of 51730 and 51740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51730 and 51740.

How to find the GCF of 51730 and 51740?

We will first find the prime factorization of 51730 and 51740. After we will calculate the factors of 51730 and 51740 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 51740

Prime factors of 51740 are 2, 5, 13, 199. Prime factorization of 51740 in exponential form is:

51740 = 2² × 5¹ × 13¹ × 199¹

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 51740

List of positive integer factors of 51740 that divides 51730 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 199, 260, 398, 796, 995, 1990, 2587, 3980, 5174, 10348, 12935, 25870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51730 and 51740. The biggest common factor number is the GCF number.
So the greatest common factor 51730 and 51740 is 10.

Also check out the Least Common Multiple of 51730 and 51740