What is the Greatest Common Factor of 27321 and 27335?

Greatest common factor (GCF) of 27321 and 27335 is 7.

GCF(27321,27335) = 7

We will now calculate the prime factors of 27321 and 27335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27321 and 27335.

How to find the GCF of 27321 and 27335?

We will first find the prime factorization of 27321 and 27335. After we will calculate the factors of 27321 and 27335 and find the biggest common factor number .

Step-1: Prime Factorization of 27321

Prime factors of 27321 are 3, 7, 1301. Prime factorization of 27321 in exponential form is:

27321 = 3¹ × 7¹ × 1301¹

Step-2: Prime Factorization of 27335

Prime factors of 27335 are 5, 7, 11, 71. Prime factorization of 27335 in exponential form is:

27335 = 5¹ × 7¹ × 11¹ × 71¹

Step-3: Factors of 27321

List of positive integer factors of 27321 that divides 27321 without a remainder.

1, 3, 7, 21, 1301, 3903, 9107

Step-4: Factors of 27335

List of positive integer factors of 27335 that divides 27321 without a remainder.

1, 5, 7, 11, 35, 55, 71, 77, 355, 385, 497, 781, 2485, 3905, 5467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27321 and 27335. The biggest common factor number is the GCF number.
So the greatest common factor 27321 and 27335 is 7.

Also check out the Least Common Multiple of 27321 and 27335