What is the Greatest Common Factor of 50874 and 50882?

Greatest common factor (GCF) of 50874 and 50882 is 2.

GCF(50874,50882) = 2

We will now calculate the prime factors of 50874 and 50882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50874 and 50882.

How to find the GCF of 50874 and 50882?

We will first find the prime factorization of 50874 and 50882. After we will calculate the factors of 50874 and 50882 and find the biggest common factor number .

Step-1: Prime Factorization of 50874

Prime factors of 50874 are 2, 3, 61, 139. Prime factorization of 50874 in exponential form is:

50874 = 2¹ × 3¹ × 61¹ × 139¹

Step-2: 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-3: Factors of 50874

List of positive integer factors of 50874 that divides 50874 without a remainder.

1, 2, 3, 6, 61, 122, 139, 183, 278, 366, 417, 834, 8479, 16958, 25437

Step-4: Factors of 50882

List of positive integer factors of 50882 that divides 50874 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50874 and 50882. The biggest common factor number is the GCF number.
So the greatest common factor 50874 and 50882 is 2.

Also check out the Least Common Multiple of 50874 and 50882