What is the Greatest Common Factor of 27376 and 27395?

Greatest common factor (GCF) of 27376 and 27395 is 1.

GCF(27376,27395) = 1

We will now calculate the prime factors of 27376 and 27395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27376 and 27395.

How to find the GCF of 27376 and 27395?

We will first find the prime factorization of 27376 and 27395. After we will calculate the factors of 27376 and 27395 and find the biggest common factor number .

Step-1: Prime Factorization of 27376

Prime factors of 27376 are 2, 29, 59. Prime factorization of 27376 in exponential form is:

27376 = 2⁴ × 29¹ × 59¹

Step-2: Prime Factorization of 27395

Prime factors of 27395 are 5, 5479. Prime factorization of 27395 in exponential form is:

27395 = 5¹ × 5479¹

Step-3: Factors of 27376

List of positive integer factors of 27376 that divides 27376 without a remainder.

1, 2, 4, 8, 16, 29, 58, 59, 116, 118, 232, 236, 464, 472, 944, 1711, 3422, 6844, 13688

Step-4: Factors of 27395

List of positive integer factors of 27395 that divides 27376 without a remainder.

1, 5, 5479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27376 and 27395. The biggest common factor number is the GCF number.
So the greatest common factor 27376 and 27395 is 1.

Also check out the Least Common Multiple of 27376 and 27395