What is the Greatest Common Factor of 50897 and 50908?

Greatest common factor (GCF) of 50897 and 50908 is 11.

GCF(50897,50908) = 11

We will now calculate the prime factors of 50897 and 50908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50897 and 50908.

How to find the GCF of 50897 and 50908?

We will first find the prime factorization of 50897 and 50908. After we will calculate the factors of 50897 and 50908 and find the biggest common factor number .

Step-1: Prime Factorization of 50897

Prime factors of 50897 are 7, 11, 661. Prime factorization of 50897 in exponential form is:

50897 = 7¹ × 11¹ × 661¹

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 50897

List of positive integer factors of 50897 that divides 50897 without a remainder.

1, 7, 11, 77, 661, 4627, 7271

Step-4: Factors of 50908

List of positive integer factors of 50908 that divides 50897 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 50897 and 50908. The biggest common factor number is the GCF number.
So the greatest common factor 50897 and 50908 is 11.

Also check out the Least Common Multiple of 50897 and 50908