What is the Greatest Common Factor of 27377 and 27384?

Greatest common factor (GCF) of 27377 and 27384 is 7.

GCF(27377,27384) = 7

We will now calculate the prime factors of 27377 and 27384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27377 and 27384.

How to find the GCF of 27377 and 27384?

We will first find the prime factorization of 27377 and 27384. After we will calculate the factors of 27377 and 27384 and find the biggest common factor number .

Step-1: Prime Factorization of 27377

Prime factors of 27377 are 7, 3911. Prime factorization of 27377 in exponential form is:

27377 = 7¹ × 3911¹

Step-2: Prime Factorization of 27384

Prime factors of 27384 are 2, 3, 7, 163. Prime factorization of 27384 in exponential form is:

27384 = 2³ × 3¹ × 7¹ × 163¹

Step-3: Factors of 27377

List of positive integer factors of 27377 that divides 27377 without a remainder.

1, 7, 3911

Step-4: Factors of 27384

List of positive integer factors of 27384 that divides 27377 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 163, 168, 326, 489, 652, 978, 1141, 1304, 1956, 2282, 3423, 3912, 4564, 6846, 9128, 13692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27377 and 27384. The biggest common factor number is the GCF number.
So the greatest common factor 27377 and 27384 is 7.

Also check out the Least Common Multiple of 27377 and 27384