What is the Greatest Common Factor of 50546 and 50554?

Greatest common factor (GCF) of 50546 and 50554 is 2.

GCF(50546,50554) = 2

We will now calculate the prime factors of 50546 and 50554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50546 and 50554.

How to find the GCF of 50546 and 50554?

We will first find the prime factorization of 50546 and 50554. After we will calculate the factors of 50546 and 50554 and find the biggest common factor number .

Step-1: Prime Factorization of 50546

Prime factors of 50546 are 2, 127, 199. Prime factorization of 50546 in exponential form is:

50546 = 2¹ × 127¹ × 199¹

Step-2: Prime Factorization of 50554

Prime factors of 50554 are 2, 7, 23, 157. Prime factorization of 50554 in exponential form is:

50554 = 2¹ × 7¹ × 23¹ × 157¹

Step-3: Factors of 50546

List of positive integer factors of 50546 that divides 50546 without a remainder.

1, 2, 127, 199, 254, 398, 25273

Step-4: Factors of 50554

List of positive integer factors of 50554 that divides 50546 without a remainder.

1, 2, 7, 14, 23, 46, 157, 161, 314, 322, 1099, 2198, 3611, 7222, 25277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50546 and 50554. The biggest common factor number is the GCF number.
So the greatest common factor 50546 and 50554 is 2.

Also check out the Least Common Multiple of 50546 and 50554