What is the Greatest Common Factor of 27084 and 27100?

Greatest common factor (GCF) of 27084 and 27100 is 4.

GCF(27084,27100) = 4

We will now calculate the prime factors of 27084 and 27100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27084 and 27100.

How to find the GCF of 27084 and 27100?

We will first find the prime factorization of 27084 and 27100. After we will calculate the factors of 27084 and 27100 and find the biggest common factor number .

Step-1: Prime Factorization of 27084

Prime factors of 27084 are 2, 3, 37, 61. Prime factorization of 27084 in exponential form is:

27084 = 2² × 3¹ × 37¹ × 61¹

Step-2: Prime Factorization of 27100

Prime factors of 27100 are 2, 5, 271. Prime factorization of 27100 in exponential form is:

27100 = 2² × 5² × 271¹

Step-3: Factors of 27084

List of positive integer factors of 27084 that divides 27084 without a remainder.

1, 2, 3, 4, 6, 12, 37, 61, 74, 111, 122, 148, 183, 222, 244, 366, 444, 732, 2257, 4514, 6771, 9028, 13542

Step-4: Factors of 27100

List of positive integer factors of 27100 that divides 27084 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 271, 542, 1084, 1355, 2710, 5420, 6775, 13550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27084 and 27100. The biggest common factor number is the GCF number.
So the greatest common factor 27084 and 27100 is 4.

Also check out the Least Common Multiple of 27084 and 27100