What is the Greatest Common Factor of 50092 and 50096?

Greatest common factor (GCF) of 50092 and 50096 is 4.

GCF(50092,50096) = 4

We will now calculate the prime factors of 50092 and 50096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50092 and 50096.

How to find the GCF of 50092 and 50096?

We will first find the prime factorization of 50092 and 50096. After we will calculate the factors of 50092 and 50096 and find the biggest common factor number .

Step-1: Prime Factorization of 50092

Prime factors of 50092 are 2, 7, 1789. Prime factorization of 50092 in exponential form is:

50092 = 2² × 7¹ × 1789¹

Step-2: 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-3: Factors of 50092

List of positive integer factors of 50092 that divides 50092 without a remainder.

1, 2, 4, 7, 14, 28, 1789, 3578, 7156, 12523, 25046

Step-4: Factors of 50096

List of positive integer factors of 50096 that divides 50092 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50092 and 50096. The biggest common factor number is the GCF number.
So the greatest common factor 50092 and 50096 is 4.

Also check out the Least Common Multiple of 50092 and 50096