What is the Greatest Common Factor of 27358 and 27376?

Greatest common factor (GCF) of 27358 and 27376 is 2.

GCF(27358,27376) = 2

We will now calculate the prime factors of 27358 and 27376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27358 and 27376.

How to find the GCF of 27358 and 27376?

We will first find the prime factorization of 27358 and 27376. After we will calculate the factors of 27358 and 27376 and find the biggest common factor number .

Step-1: Prime Factorization of 27358

Prime factors of 27358 are 2, 13679. Prime factorization of 27358 in exponential form is:

27358 = 2¹ × 13679¹

Step-2: 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-3: Factors of 27358

List of positive integer factors of 27358 that divides 27358 without a remainder.

1, 2, 13679

Step-4: Factors of 27376

List of positive integer factors of 27376 that divides 27358 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27358 and 27376. The biggest common factor number is the GCF number.
So the greatest common factor 27358 and 27376 is 2.

Also check out the Least Common Multiple of 27358 and 27376