What is the Greatest Common Factor of 40552 and 40558?

Greatest common factor (GCF) of 40552 and 40558 is 2.

GCF(40552,40558) = 2

We will now calculate the prime factors of 40552 and 40558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40552 and 40558.

How to find the GCF of 40552 and 40558?

We will first find the prime factorization of 40552 and 40558. After we will calculate the factors of 40552 and 40558 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 40558

Prime factors of 40558 are 2, 7, 2897. Prime factorization of 40558 in exponential form is:

40558 = 2¹ × 7¹ × 2897¹

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 40558

List of positive integer factors of 40558 that divides 40552 without a remainder.

1, 2, 7, 14, 2897, 5794, 20279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40552 and 40558. The biggest common factor number is the GCF number.
So the greatest common factor 40552 and 40558 is 2.

Also check out the Least Common Multiple of 40552 and 40558