What is the Greatest Common Factor of 50858 and 50876?

Greatest common factor (GCF) of 50858 and 50876 is 2.

GCF(50858,50876) = 2

We will now calculate the prime factors of 50858 and 50876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50858 and 50876.

How to find the GCF of 50858 and 50876?

We will first find the prime factorization of 50858 and 50876. After we will calculate the factors of 50858 and 50876 and find the biggest common factor number .

Step-1: Prime Factorization of 50858

Prime factors of 50858 are 2, 59, 431. Prime factorization of 50858 in exponential form is:

50858 = 2¹ × 59¹ × 431¹

Step-2: Prime Factorization of 50876

Prime factors of 50876 are 2, 7, 23, 79. Prime factorization of 50876 in exponential form is:

50876 = 2² × 7¹ × 23¹ × 79¹

Step-3: Factors of 50858

List of positive integer factors of 50858 that divides 50858 without a remainder.

1, 2, 59, 118, 431, 862, 25429

Step-4: Factors of 50876

List of positive integer factors of 50876 that divides 50858 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 79, 92, 158, 161, 316, 322, 553, 644, 1106, 1817, 2212, 3634, 7268, 12719, 25438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50858 and 50876. The biggest common factor number is the GCF number.
So the greatest common factor 50858 and 50876 is 2.

Also check out the Least Common Multiple of 50858 and 50876