What is the Greatest Common Factor of 40538 and 40552?

Greatest common factor (GCF) of 40538 and 40552 is 2.

GCF(40538,40552) = 2

We will now calculate the prime factors of 40538 and 40552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40538 and 40552.

How to find the GCF of 40538 and 40552?

We will first find the prime factorization of 40538 and 40552. After we will calculate the factors of 40538 and 40552 and find the biggest common factor number .

Step-1: Prime Factorization of 40538

Prime factors of 40538 are 2, 20269. Prime factorization of 40538 in exponential form is:

40538 = 2¹ × 20269¹

Step-2: Prime Factorization of 40552

Prime factors of 40552 are 2, 37, 137. Prime factorization of 40552 in exponential form is:

40552 = 2³ × 37¹ × 137¹

Step-3: Factors of 40538

List of positive integer factors of 40538 that divides 40538 without a remainder.

1, 2, 20269

Step-4: Factors of 40552

List of positive integer factors of 40552 that divides 40538 without a remainder.

1, 2, 4, 8, 37, 74, 137, 148, 274, 296, 548, 1096, 5069, 10138, 20276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40538 and 40552. The biggest common factor number is the GCF number.
So the greatest common factor 40538 and 40552 is 2.

Also check out the Least Common Multiple of 40538 and 40552