What is the Greatest Common Factor of 50902 and 50908?

Greatest common factor (GCF) of 50902 and 50908 is 2.

GCF(50902,50908) = 2

We will now calculate the prime factors of 50902 and 50908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50902 and 50908.

How to find the GCF of 50902 and 50908?

We will first find the prime factorization of 50902 and 50908. After we will calculate the factors of 50902 and 50908 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50908

Prime factors of 50908 are 2, 11, 13, 89. Prime factorization of 50908 in exponential form is:

50908 = 2² × 11¹ × 13¹ × 89¹

Step-3: Factors of 50902

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

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

Step-4: Factors of 50908

List of positive integer factors of 50908 that divides 50902 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 89, 143, 178, 286, 356, 572, 979, 1157, 1958, 2314, 3916, 4628, 12727, 25454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50902 and 50908. The biggest common factor number is the GCF number.
So the greatest common factor 50902 and 50908 is 2.

Also check out the Least Common Multiple of 50902 and 50908