What is the Greatest Common Factor of 50854 and 50872?

Greatest common factor (GCF) of 50854 and 50872 is 2.

GCF(50854,50872) = 2

We will now calculate the prime factors of 50854 and 50872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50854 and 50872.

How to find the GCF of 50854 and 50872?

We will first find the prime factorization of 50854 and 50872. After we will calculate the factors of 50854 and 50872 and find the biggest common factor number .

Step-1: Prime Factorization of 50854

Prime factors of 50854 are 2, 47, 541. Prime factorization of 50854 in exponential form is:

50854 = 2¹ × 47¹ × 541¹

Step-2: Prime Factorization of 50872

Prime factors of 50872 are 2, 6359. Prime factorization of 50872 in exponential form is:

50872 = 2³ × 6359¹

Step-3: Factors of 50854

List of positive integer factors of 50854 that divides 50854 without a remainder.

1, 2, 47, 94, 541, 1082, 25427

Step-4: Factors of 50872

List of positive integer factors of 50872 that divides 50854 without a remainder.

1, 2, 4, 8, 6359, 12718, 25436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50854 and 50872. The biggest common factor number is the GCF number.
So the greatest common factor 50854 and 50872 is 2.

Also check out the Least Common Multiple of 50854 and 50872