What is the Greatest Common Factor of 27335 and 27349?

Greatest common factor (GCF) of 27335 and 27349 is 7.

GCF(27335,27349) = 7

We will now calculate the prime factors of 27335 and 27349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27335 and 27349.

How to find the GCF of 27335 and 27349?

We will first find the prime factorization of 27335 and 27349. After we will calculate the factors of 27335 and 27349 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27349

Prime factors of 27349 are 7, 3907. Prime factorization of 27349 in exponential form is:

27349 = 7¹ × 3907¹

Step-3: Factors of 27335

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

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

Step-4: Factors of 27349

List of positive integer factors of 27349 that divides 27335 without a remainder.

1, 7, 3907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27335 and 27349. The biggest common factor number is the GCF number.
So the greatest common factor 27335 and 27349 is 7.

Also check out the Least Common Multiple of 27335 and 27349