What is the Greatest Common Factor of 50896 and 50902?

Greatest common factor (GCF) of 50896 and 50902 is 2.

GCF(50896,50902) = 2

We will now calculate the prime factors of 50896 and 50902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50896 and 50902.

How to find the GCF of 50896 and 50902?

We will first find the prime factorization of 50896 and 50902. After we will calculate the factors of 50896 and 50902 and find the biggest common factor number .

Step-1: Prime Factorization of 50896

Prime factors of 50896 are 2, 3181. Prime factorization of 50896 in exponential form is:

50896 = 2⁴ × 3181¹

Step-2: Prime Factorization of 50902

Prime factors of 50902 are 2, 31, 821. Prime factorization of 50902 in exponential form is:

50902 = 2¹ × 31¹ × 821¹

Step-3: Factors of 50896

List of positive integer factors of 50896 that divides 50896 without a remainder.

1, 2, 4, 8, 16, 3181, 6362, 12724, 25448

Step-4: Factors of 50902

List of positive integer factors of 50902 that divides 50896 without a remainder.

1, 2, 31, 62, 821, 1642, 25451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50896 and 50902. The biggest common factor number is the GCF number.
So the greatest common factor 50896 and 50902 is 2.

Also check out the Least Common Multiple of 50896 and 50902