What is the Greatest Common Factor of 50522 and 50538?

Greatest common factor (GCF) of 50522 and 50538 is 2.

GCF(50522,50538) = 2

We will now calculate the prime factors of 50522 and 50538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50522 and 50538.

How to find the GCF of 50522 and 50538?

We will first find the prime factorization of 50522 and 50538. After we will calculate the factors of 50522 and 50538 and find the biggest common factor number .

Step-1: Prime Factorization of 50522

Prime factors of 50522 are 2, 25261. Prime factorization of 50522 in exponential form is:

50522 = 2¹ × 25261¹

Step-2: 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-3: Factors of 50522

List of positive integer factors of 50522 that divides 50522 without a remainder.

1, 2, 25261

Step-4: Factors of 50538

List of positive integer factors of 50538 that divides 50522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50522 and 50538. The biggest common factor number is the GCF number.
So the greatest common factor 50522 and 50538 is 2.

Also check out the Least Common Multiple of 50522 and 50538