What is the Greatest Common Factor of 51752 and 51760?

Greatest common factor (GCF) of 51752 and 51760 is 8.

GCF(51752,51760) = 8

We will now calculate the prime factors of 51752 and 51760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51752 and 51760.

How to find the GCF of 51752 and 51760?

We will first find the prime factorization of 51752 and 51760. After we will calculate the factors of 51752 and 51760 and find the biggest common factor number .

Step-1: Prime Factorization of 51752

Prime factors of 51752 are 2, 6469. Prime factorization of 51752 in exponential form is:

51752 = 2³ × 6469¹

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 51752

List of positive integer factors of 51752 that divides 51752 without a remainder.

1, 2, 4, 8, 6469, 12938, 25876

Step-4: Factors of 51760

List of positive integer factors of 51760 that divides 51752 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 51752 and 51760. The biggest common factor number is the GCF number.
So the greatest common factor 51752 and 51760 is 8.

Also check out the Least Common Multiple of 51752 and 51760