What is the Greatest Common Factor of 52538 and 52552?

Greatest common factor (GCF) of 52538 and 52552 is 2.

GCF(52538,52552) = 2

We will now calculate the prime factors of 52538 and 52552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52538 and 52552.

How to find the GCF of 52538 and 52552?

We will first find the prime factorization of 52538 and 52552. After we will calculate the factors of 52538 and 52552 and find the biggest common factor number .

Step-1: Prime Factorization of 52538

Prime factors of 52538 are 2, 109, 241. Prime factorization of 52538 in exponential form is:

52538 = 2¹ × 109¹ × 241¹

Step-2: Prime Factorization of 52552

Prime factors of 52552 are 2, 6569. Prime factorization of 52552 in exponential form is:

52552 = 2³ × 6569¹

Step-3: Factors of 52538

List of positive integer factors of 52538 that divides 52538 without a remainder.

1, 2, 109, 218, 241, 482, 26269

Step-4: Factors of 52552

List of positive integer factors of 52552 that divides 52538 without a remainder.

1, 2, 4, 8, 6569, 13138, 26276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52538 and 52552. The biggest common factor number is the GCF number.
So the greatest common factor 52538 and 52552 is 2.

Also check out the Least Common Multiple of 52538 and 52552