What is the Greatest Common Factor of 50128 and 50142?

Greatest common factor (GCF) of 50128 and 50142 is 2.

GCF(50128,50142) = 2

We will now calculate the prime factors of 50128 and 50142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50128 and 50142.

How to find the GCF of 50128 and 50142?

We will first find the prime factorization of 50128 and 50142. After we will calculate the factors of 50128 and 50142 and find the biggest common factor number .

Step-1: Prime Factorization of 50128

Prime factors of 50128 are 2, 13, 241. Prime factorization of 50128 in exponential form is:

50128 = 2⁴ × 13¹ × 241¹

Step-2: Prime Factorization of 50142

Prime factors of 50142 are 2, 3, 61, 137. Prime factorization of 50142 in exponential form is:

50142 = 2¹ × 3¹ × 61¹ × 137¹

Step-3: Factors of 50128

List of positive integer factors of 50128 that divides 50128 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 241, 482, 964, 1928, 3133, 3856, 6266, 12532, 25064

Step-4: Factors of 50142

List of positive integer factors of 50142 that divides 50128 without a remainder.

1, 2, 3, 6, 61, 122, 137, 183, 274, 366, 411, 822, 8357, 16714, 25071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50128 and 50142. The biggest common factor number is the GCF number.
So the greatest common factor 50128 and 50142 is 2.

Also check out the Least Common Multiple of 50128 and 50142