What is the Greatest Common Factor of 50096 and 50116?

Greatest common factor (GCF) of 50096 and 50116 is 4.

GCF(50096,50116) = 4

We will now calculate the prime factors of 50096 and 50116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50096 and 50116.

How to find the GCF of 50096 and 50116?

We will first find the prime factorization of 50096 and 50116. After we will calculate the factors of 50096 and 50116 and find the biggest common factor number .

Step-1: Prime Factorization of 50096

Prime factors of 50096 are 2, 31, 101. Prime factorization of 50096 in exponential form is:

50096 = 2⁴ × 31¹ × 101¹

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 50096

List of positive integer factors of 50096 that divides 50096 without a remainder.

1, 2, 4, 8, 16, 31, 62, 101, 124, 202, 248, 404, 496, 808, 1616, 3131, 6262, 12524, 25048

Step-4: Factors of 50116

List of positive integer factors of 50116 that divides 50096 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 50096 and 50116. The biggest common factor number is the GCF number.
So the greatest common factor 50096 and 50116 is 4.

Also check out the Least Common Multiple of 50096 and 50116