What is the Greatest Common Factor of 50528 and 50538?

Greatest common factor (GCF) of 50528 and 50538 is 2.

GCF(50528,50538) = 2

We will now calculate the prime factors of 50528 and 50538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50528 and 50538.

How to find the GCF of 50528 and 50538?

We will first find the prime factorization of 50528 and 50538. After we will calculate the factors of 50528 and 50538 and find the biggest common factor number .

Step-1: Prime Factorization of 50528

Prime factors of 50528 are 2, 1579. Prime factorization of 50528 in exponential form is:

50528 = 2⁵ × 1579¹

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 50528

List of positive integer factors of 50528 that divides 50528 without a remainder.

1, 2, 4, 8, 16, 32, 1579, 3158, 6316, 12632, 25264

Step-4: Factors of 50538

List of positive integer factors of 50538 that divides 50528 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50528 and 50538. The biggest common factor number is the GCF number.
So the greatest common factor 50528 and 50538 is 2.

Also check out the Least Common Multiple of 50528 and 50538