What is the Greatest Common Factor of 50278 and 50290?

Greatest common factor (GCF) of 50278 and 50290 is 2.

GCF(50278,50290) = 2

We will now calculate the prime factors of 50278 and 50290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50278 and 50290.

How to find the GCF of 50278 and 50290?

We will first find the prime factorization of 50278 and 50290. After we will calculate the factors of 50278 and 50290 and find the biggest common factor number .

Step-1: Prime Factorization of 50278

Prime factors of 50278 are 2, 23, 1093. Prime factorization of 50278 in exponential form is:

50278 = 2¹ × 23¹ × 1093¹

Step-2: Prime Factorization of 50290

Prime factors of 50290 are 2, 5, 47, 107. Prime factorization of 50290 in exponential form is:

50290 = 2¹ × 5¹ × 47¹ × 107¹

Step-3: Factors of 50278

List of positive integer factors of 50278 that divides 50278 without a remainder.

1, 2, 23, 46, 1093, 2186, 25139

Step-4: Factors of 50290

List of positive integer factors of 50290 that divides 50278 without a remainder.

1, 2, 5, 10, 47, 94, 107, 214, 235, 470, 535, 1070, 5029, 10058, 25145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50278 and 50290. The biggest common factor number is the GCF number.
So the greatest common factor 50278 and 50290 is 2.

Also check out the Least Common Multiple of 50278 and 50290