What is the Greatest Common Factor of 27756 and 27765?

Greatest common factor (GCF) of 27756 and 27765 is 9.

GCF(27756,27765) = 9

We will now calculate the prime factors of 27756 and 27765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27756 and 27765.

How to find the GCF of 27756 and 27765?

We will first find the prime factorization of 27756 and 27765. After we will calculate the factors of 27756 and 27765 and find the biggest common factor number .

Step-1: Prime Factorization of 27756

Prime factors of 27756 are 2, 3, 257. Prime factorization of 27756 in exponential form is:

27756 = 2² × 3³ × 257¹

Step-2: Prime Factorization of 27765

Prime factors of 27765 are 3, 5, 617. Prime factorization of 27765 in exponential form is:

27765 = 3² × 5¹ × 617¹

Step-3: Factors of 27756

List of positive integer factors of 27756 that divides 27756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 6939, 9252, 13878

Step-4: Factors of 27765

List of positive integer factors of 27765 that divides 27756 without a remainder.

1, 3, 5, 9, 15, 45, 617, 1851, 3085, 5553, 9255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27756 and 27765. The biggest common factor number is the GCF number.
So the greatest common factor 27756 and 27765 is 9.

Also check out the Least Common Multiple of 27756 and 27765