What is the Greatest Common Factor of 51730 and 51748?

Greatest common factor (GCF) of 51730 and 51748 is 2.

GCF(51730,51748) = 2

We will now calculate the prime factors of 51730 and 51748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51730 and 51748.

How to find the GCF of 51730 and 51748?

We will first find the prime factorization of 51730 and 51748. After we will calculate the factors of 51730 and 51748 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 51748

Prime factors of 51748 are 2, 17, 761. Prime factorization of 51748 in exponential form is:

51748 = 2² × 17¹ × 761¹

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 51748

List of positive integer factors of 51748 that divides 51730 without a remainder.

1, 2, 4, 17, 34, 68, 761, 1522, 3044, 12937, 25874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51730 and 51748. The biggest common factor number is the GCF number.
So the greatest common factor 51730 and 51748 is 2.

Also check out the Least Common Multiple of 51730 and 51748