What is the Greatest Common Factor of 40552 and 40568?

Greatest common factor (GCF) of 40552 and 40568 is 8.

GCF(40552,40568) = 8

We will now calculate the prime factors of 40552 and 40568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40552 and 40568.

How to find the GCF of 40552 and 40568?

We will first find the prime factorization of 40552 and 40568. After we will calculate the factors of 40552 and 40568 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40568

Prime factors of 40568 are 2, 11, 461. Prime factorization of 40568 in exponential form is:

40568 = 2³ × 11¹ × 461¹

Step-3: Factors of 40552

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

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

Step-4: Factors of 40568

List of positive integer factors of 40568 that divides 40552 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 461, 922, 1844, 3688, 5071, 10142, 20284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40552 and 40568. The biggest common factor number is the GCF number.
So the greatest common factor 40552 and 40568 is 8.

Also check out the Least Common Multiple of 40552 and 40568