What is the Greatest Common Factor of 50882 and 50898?

Greatest common factor (GCF) of 50882 and 50898 is 2.

GCF(50882,50898) = 2

We will now calculate the prime factors of 50882 and 50898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50882 and 50898.

How to find the GCF of 50882 and 50898?

We will first find the prime factorization of 50882 and 50898. After we will calculate the factors of 50882 and 50898 and find the biggest common factor number .

Step-1: Prime Factorization of 50882

Prime factors of 50882 are 2, 13, 19, 103. Prime factorization of 50882 in exponential form is:

50882 = 2¹ × 13¹ × 19¹ × 103¹

Step-2: Prime Factorization of 50898

Prime factors of 50898 are 2, 3, 17, 499. Prime factorization of 50898 in exponential form is:

50898 = 2¹ × 3¹ × 17¹ × 499¹

Step-3: Factors of 50882

List of positive integer factors of 50882 that divides 50882 without a remainder.

1, 2, 13, 19, 26, 38, 103, 206, 247, 494, 1339, 1957, 2678, 3914, 25441

Step-4: Factors of 50898

List of positive integer factors of 50898 that divides 50882 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 499, 998, 1497, 2994, 8483, 16966, 25449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50882 and 50898. The biggest common factor number is the GCF number.
So the greatest common factor 50882 and 50898 is 2.

Also check out the Least Common Multiple of 50882 and 50898