What is the Greatest Common Factor of 50884 and 50898?

Greatest common factor (GCF) of 50884 and 50898 is 2.

GCF(50884,50898) = 2

We will now calculate the prime factors of 50884 and 50898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50884 and 50898.

How to find the GCF of 50884 and 50898?

We will first find the prime factorization of 50884 and 50898. After we will calculate the factors of 50884 and 50898 and find the biggest common factor number .

Step-1: Prime Factorization of 50884

Prime factors of 50884 are 2, 12721. Prime factorization of 50884 in exponential form is:

50884 = 2² × 12721¹

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 50884

List of positive integer factors of 50884 that divides 50884 without a remainder.

1, 2, 4, 12721, 25442

Step-4: Factors of 50898

List of positive integer factors of 50898 that divides 50884 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 50884 and 50898. The biggest common factor number is the GCF number.
So the greatest common factor 50884 and 50898 is 2.

Also check out the Least Common Multiple of 50884 and 50898