What is the Greatest Common Factor of 27232 and 27242?

Greatest common factor (GCF) of 27232 and 27242 is 2.

GCF(27232,27242) = 2

We will now calculate the prime factors of 27232 and 27242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27232 and 27242.

How to find the GCF of 27232 and 27242?

We will first find the prime factorization of 27232 and 27242. After we will calculate the factors of 27232 and 27242 and find the biggest common factor number .

Step-1: Prime Factorization of 27232

Prime factors of 27232 are 2, 23, 37. Prime factorization of 27232 in exponential form is:

27232 = 2⁵ × 23¹ × 37¹

Step-2: Prime Factorization of 27242

Prime factors of 27242 are 2, 53, 257. Prime factorization of 27242 in exponential form is:

27242 = 2¹ × 53¹ × 257¹

Step-3: Factors of 27232

List of positive integer factors of 27232 that divides 27232 without a remainder.

1, 2, 4, 8, 16, 23, 32, 37, 46, 74, 92, 148, 184, 296, 368, 592, 736, 851, 1184, 1702, 3404, 6808, 13616

Step-4: Factors of 27242

List of positive integer factors of 27242 that divides 27232 without a remainder.

1, 2, 53, 106, 257, 514, 13621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27232 and 27242. The biggest common factor number is the GCF number.
So the greatest common factor 27232 and 27242 is 2.

Also check out the Least Common Multiple of 27232 and 27242