What is the Greatest Common Factor of 51760 and 51770?

Greatest common factor (GCF) of 51760 and 51770 is 10.

GCF(51760,51770) = 10

We will now calculate the prime factors of 51760 and 51770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51760 and 51770.

How to find the GCF of 51760 and 51770?

We will first find the prime factorization of 51760 and 51770. After we will calculate the factors of 51760 and 51770 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 51770

Prime factors of 51770 are 2, 5, 31, 167. Prime factorization of 51770 in exponential form is:

51770 = 2¹ × 5¹ × 31¹ × 167¹

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 51770

List of positive integer factors of 51770 that divides 51760 without a remainder.

1, 2, 5, 10, 31, 62, 155, 167, 310, 334, 835, 1670, 5177, 10354, 25885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51760 and 51770. The biggest common factor number is the GCF number.
So the greatest common factor 51760 and 51770 is 10.

Also check out the Least Common Multiple of 51760 and 51770