What is the Greatest Common Factor of 50854 and 50874?

Greatest common factor (GCF) of 50854 and 50874 is 2.

GCF(50854,50874) = 2

We will now calculate the prime factors of 50854 and 50874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50854 and 50874.

How to find the GCF of 50854 and 50874?

We will first find the prime factorization of 50854 and 50874. After we will calculate the factors of 50854 and 50874 and find the biggest common factor number .

Step-1: Prime Factorization of 50854

Prime factors of 50854 are 2, 47, 541. Prime factorization of 50854 in exponential form is:

50854 = 2¹ × 47¹ × 541¹

Step-2: 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-3: Factors of 50854

List of positive integer factors of 50854 that divides 50854 without a remainder.

1, 2, 47, 94, 541, 1082, 25427

Step-4: Factors of 50874

List of positive integer factors of 50874 that divides 50854 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50854 and 50874. The biggest common factor number is the GCF number.
So the greatest common factor 50854 and 50874 is 2.

Also check out the Least Common Multiple of 50854 and 50874