What is the Greatest Common Factor of 50538 and 50548?

Greatest common factor (GCF) of 50538 and 50548 is 2.

GCF(50538,50548) = 2

We will now calculate the prime factors of 50538 and 50548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50538 and 50548.

How to find the GCF of 50538 and 50548?

We will first find the prime factorization of 50538 and 50548. After we will calculate the factors of 50538 and 50548 and find the biggest common factor number .

Step-1: Prime Factorization of 50538

Prime factors of 50538 are 2, 3, 8423. Prime factorization of 50538 in exponential form is:

50538 = 2¹ × 3¹ × 8423¹

Step-2: Prime Factorization of 50548

Prime factors of 50548 are 2, 12637. Prime factorization of 50548 in exponential form is:

50548 = 2² × 12637¹

Step-3: Factors of 50538

List of positive integer factors of 50538 that divides 50538 without a remainder.

1, 2, 3, 6, 8423, 16846, 25269

Step-4: Factors of 50548

List of positive integer factors of 50548 that divides 50538 without a remainder.

1, 2, 4, 12637, 25274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50538 and 50548. The biggest common factor number is the GCF number.
So the greatest common factor 50538 and 50548 is 2.

Also check out the Least Common Multiple of 50538 and 50548