What is the Greatest Common Factor of 32540 and 32558?

Greatest common factor (GCF) of 32540 and 32558 is 2.

GCF(32540,32558) = 2

We will now calculate the prime factors of 32540 and 32558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32540 and 32558.

How to find the GCF of 32540 and 32558?

We will first find the prime factorization of 32540 and 32558. After we will calculate the factors of 32540 and 32558 and find the biggest common factor number .

Step-1: Prime Factorization of 32540

Prime factors of 32540 are 2, 5, 1627. Prime factorization of 32540 in exponential form is:

32540 = 2² × 5¹ × 1627¹

Step-2: Prime Factorization of 32558

Prime factors of 32558 are 2, 73, 223. Prime factorization of 32558 in exponential form is:

32558 = 2¹ × 73¹ × 223¹

Step-3: Factors of 32540

List of positive integer factors of 32540 that divides 32540 without a remainder.

1, 2, 4, 5, 10, 20, 1627, 3254, 6508, 8135, 16270

Step-4: Factors of 32558

List of positive integer factors of 32558 that divides 32540 without a remainder.

1, 2, 73, 146, 223, 446, 16279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32540 and 32558. The biggest common factor number is the GCF number.
So the greatest common factor 32540 and 32558 is 2.

Also check out the Least Common Multiple of 32540 and 32558