What is the Greatest Common Factor of 50660 and 50665?

Greatest common factor (GCF) of 50660 and 50665 is 5.

GCF(50660,50665) = 5

We will now calculate the prime factors of 50660 and 50665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50660 and 50665.

How to find the GCF of 50660 and 50665?

We will first find the prime factorization of 50660 and 50665. After we will calculate the factors of 50660 and 50665 and find the biggest common factor number .

Step-1: Prime Factorization of 50660

Prime factors of 50660 are 2, 5, 17, 149. Prime factorization of 50660 in exponential form is:

50660 = 2² × 5¹ × 17¹ × 149¹

Step-2: Prime Factorization of 50665

Prime factors of 50665 are 5, 10133. Prime factorization of 50665 in exponential form is:

50665 = 5¹ × 10133¹

Step-3: Factors of 50660

List of positive integer factors of 50660 that divides 50660 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 149, 170, 298, 340, 596, 745, 1490, 2533, 2980, 5066, 10132, 12665, 25330

Step-4: Factors of 50665

List of positive integer factors of 50665 that divides 50660 without a remainder.

1, 5, 10133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50660 and 50665. The biggest common factor number is the GCF number.
So the greatest common factor 50660 and 50665 is 5.

Also check out the Least Common Multiple of 50660 and 50665