What is the Greatest Common Factor of 50099 and 50116?

Greatest common factor (GCF) of 50099 and 50116 is 17.

GCF(50099,50116) = 17

We will now calculate the prime factors of 50099 and 50116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50099 and 50116.

How to find the GCF of 50099 and 50116?

We will first find the prime factorization of 50099 and 50116. After we will calculate the factors of 50099 and 50116 and find the biggest common factor number .

Step-1: Prime Factorization of 50099

Prime factors of 50099 are 7, 17, 421. Prime factorization of 50099 in exponential form is:

50099 = 7¹ × 17¹ × 421¹

Step-2: Prime Factorization of 50116

Prime factors of 50116 are 2, 11, 17, 67. Prime factorization of 50116 in exponential form is:

50116 = 2² × 11¹ × 17¹ × 67¹

Step-3: Factors of 50099

List of positive integer factors of 50099 that divides 50099 without a remainder.

1, 7, 17, 119, 421, 2947, 7157

Step-4: Factors of 50116

List of positive integer factors of 50116 that divides 50099 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 67, 68, 134, 187, 268, 374, 737, 748, 1139, 1474, 2278, 2948, 4556, 12529, 25058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50099 and 50116. The biggest common factor number is the GCF number.
So the greatest common factor 50099 and 50116 is 17.

Also check out the Least Common Multiple of 50099 and 50116