What is the Greatest Common Factor of 27570 and 27576?

Greatest common factor (GCF) of 27570 and 27576 is 6.

GCF(27570,27576) = 6

We will now calculate the prime factors of 27570 and 27576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27570 and 27576.

How to find the GCF of 27570 and 27576?

We will first find the prime factorization of 27570 and 27576. After we will calculate the factors of 27570 and 27576 and find the biggest common factor number .

Step-1: Prime Factorization of 27570

Prime factors of 27570 are 2, 3, 5, 919. Prime factorization of 27570 in exponential form is:

27570 = 2¹ × 3¹ × 5¹ × 919¹

Step-2: Prime Factorization of 27576

Prime factors of 27576 are 2, 3, 383. Prime factorization of 27576 in exponential form is:

27576 = 2³ × 3² × 383¹

Step-3: Factors of 27570

List of positive integer factors of 27570 that divides 27570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 919, 1838, 2757, 4595, 5514, 9190, 13785

Step-4: Factors of 27576

List of positive integer factors of 27576 that divides 27570 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 383, 766, 1149, 1532, 2298, 3064, 3447, 4596, 6894, 9192, 13788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27570 and 27576. The biggest common factor number is the GCF number.
So the greatest common factor 27570 and 27576 is 6.

Also check out the Least Common Multiple of 27570 and 27576