What is the Greatest Common Factor of 50874 and 50884?

Greatest common factor (GCF) of 50874 and 50884 is 2.

GCF(50874,50884) = 2

We will now calculate the prime factors of 50874 and 50884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50874 and 50884.

How to find the GCF of 50874 and 50884?

We will first find the prime factorization of 50874 and 50884. After we will calculate the factors of 50874 and 50884 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 50884

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

50884 = 2² × 12721¹

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 50884

List of positive integer factors of 50884 that divides 50874 without a remainder.

1, 2, 4, 12721, 25442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50874 and 50884. The biggest common factor number is the GCF number.
So the greatest common factor 50874 and 50884 is 2.

Also check out the Least Common Multiple of 50874 and 50884