What is the Greatest Common Factor of 27302 and 27322?

Greatest common factor (GCF) of 27302 and 27322 is 2.

GCF(27302,27322) = 2

We will now calculate the prime factors of 27302 and 27322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27302 and 27322.

How to find the GCF of 27302 and 27322?

We will first find the prime factorization of 27302 and 27322. After we will calculate the factors of 27302 and 27322 and find the biggest common factor number .

Step-1: Prime Factorization of 27302

Prime factors of 27302 are 2, 11, 17, 73. Prime factorization of 27302 in exponential form is:

27302 = 2¹ × 11¹ × 17¹ × 73¹

Step-2: Prime Factorization of 27322

Prime factors of 27322 are 2, 19, 719. Prime factorization of 27322 in exponential form is:

27322 = 2¹ × 19¹ × 719¹

Step-3: Factors of 27302

List of positive integer factors of 27302 that divides 27302 without a remainder.

1, 2, 11, 17, 22, 34, 73, 146, 187, 374, 803, 1241, 1606, 2482, 13651

Step-4: Factors of 27322

List of positive integer factors of 27322 that divides 27302 without a remainder.

1, 2, 19, 38, 719, 1438, 13661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27302 and 27322. The biggest common factor number is the GCF number.
So the greatest common factor 27302 and 27322 is 2.

Also check out the Least Common Multiple of 27302 and 27322