What is the Greatest Common Factor of 50538 and 50552?

Greatest common factor (GCF) of 50538 and 50552 is 2.

GCF(50538,50552) = 2

We will now calculate the prime factors of 50538 and 50552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50538 and 50552.

How to find the GCF of 50538 and 50552?

We will first find the prime factorization of 50538 and 50552. After we will calculate the factors of 50538 and 50552 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 50552

Prime factors of 50552 are 2, 71, 89. Prime factorization of 50552 in exponential form is:

50552 = 2³ × 71¹ × 89¹

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 50552

List of positive integer factors of 50552 that divides 50538 without a remainder.

1, 2, 4, 8, 71, 89, 142, 178, 284, 356, 568, 712, 6319, 12638, 25276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50538 and 50552. The biggest common factor number is the GCF number.
So the greatest common factor 50538 and 50552 is 2.

Also check out the Least Common Multiple of 50538 and 50552