What is the Greatest Common Factor of 27609 and 27624?

Greatest common factor (GCF) of 27609 and 27624 is 3.

GCF(27609,27624) = 3

We will now calculate the prime factors of 27609 and 27624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27609 and 27624.

How to find the GCF of 27609 and 27624?

We will first find the prime factorization of 27609 and 27624. After we will calculate the factors of 27609 and 27624 and find the biggest common factor number .

Step-1: Prime Factorization of 27609

Prime factors of 27609 are 3, 9203. Prime factorization of 27609 in exponential form is:

27609 = 3¹ × 9203¹

Step-2: Prime Factorization of 27624

Prime factors of 27624 are 2, 3, 1151. Prime factorization of 27624 in exponential form is:

27624 = 2³ × 3¹ × 1151¹

Step-3: Factors of 27609

List of positive integer factors of 27609 that divides 27609 without a remainder.

1, 3, 9203

Step-4: Factors of 27624

List of positive integer factors of 27624 that divides 27609 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1151, 2302, 3453, 4604, 6906, 9208, 13812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27609 and 27624. The biggest common factor number is the GCF number.
So the greatest common factor 27609 and 27624 is 3.

Also check out the Least Common Multiple of 27609 and 27624