What is the Greatest Common Factor of 51760 and 51768?

Greatest common factor (GCF) of 51760 and 51768 is 8.

GCF(51760,51768) = 8

We will now calculate the prime factors of 51760 and 51768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51760 and 51768.

How to find the GCF of 51760 and 51768?

We will first find the prime factorization of 51760 and 51768. After we will calculate the factors of 51760 and 51768 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51768

Prime factors of 51768 are 2, 3, 719. Prime factorization of 51768 in exponential form is:

51768 = 2³ × 3² × 719¹

Step-3: Factors of 51760

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

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

Step-4: Factors of 51768

List of positive integer factors of 51768 that divides 51760 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 719, 1438, 2157, 2876, 4314, 5752, 6471, 8628, 12942, 17256, 25884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51760 and 51768. The biggest common factor number is the GCF number.
So the greatest common factor 51760 and 51768 is 8.

Also check out the Least Common Multiple of 51760 and 51768