What is the Greatest Common Factor of 51760 and 51772?

Greatest common factor (GCF) of 51760 and 51772 is 4.

GCF(51760,51772) = 4

We will now calculate the prime factors of 51760 and 51772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51760 and 51772.

How to find the GCF of 51760 and 51772?

We will first find the prime factorization of 51760 and 51772. After we will calculate the factors of 51760 and 51772 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 51772

Prime factors of 51772 are 2, 7, 43. Prime factorization of 51772 in exponential form is:

51772 = 2² × 7¹ × 43²

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 51772

List of positive integer factors of 51772 that divides 51760 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204, 1849, 3698, 7396, 12943, 25886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51760 and 51772. The biggest common factor number is the GCF number.
So the greatest common factor 51760 and 51772 is 4.

Also check out the Least Common Multiple of 51760 and 51772