What is the Greatest Common Factor of 51740 and 51760?

Greatest common factor (GCF) of 51740 and 51760 is 20.

GCF(51740,51760) = 20

We will now calculate the prime factors of 51740 and 51760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51740 and 51760.

How to find the GCF of 51740 and 51760?

We will first find the prime factorization of 51740 and 51760. After we will calculate the factors of 51740 and 51760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51760

Prime factors of 51760 are 2, 5, 647. Prime factorization of 51760 in exponential form is:

51760 = 2⁴ × 5¹ × 647¹

Step-3: Factors of 51740

List of positive integer factors of 51740 that divides 51740 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

Step-4: Factors of 51760

List of positive integer factors of 51760 that divides 51740 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 647, 1294, 2588, 3235, 5176, 6470, 10352, 12940, 25880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51740 and 51760. The biggest common factor number is the GCF number.
So the greatest common factor 51740 and 51760 is 20.

Also check out the Least Common Multiple of 51740 and 51760