What is the Greatest Common Factor of 27604 and 27612?

Greatest common factor (GCF) of 27604 and 27612 is 4.

GCF(27604,27612) = 4

We will now calculate the prime factors of 27604 and 27612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27604 and 27612.

How to find the GCF of 27604 and 27612?

We will first find the prime factorization of 27604 and 27612. After we will calculate the factors of 27604 and 27612 and find the biggest common factor number .

Step-1: Prime Factorization of 27604

Prime factors of 27604 are 2, 67, 103. Prime factorization of 27604 in exponential form is:

27604 = 2² × 67¹ × 103¹

Step-2: Prime Factorization of 27612

Prime factors of 27612 are 2, 3, 13, 59. Prime factorization of 27612 in exponential form is:

27612 = 2² × 3² × 13¹ × 59¹

Step-3: Factors of 27604

List of positive integer factors of 27604 that divides 27604 without a remainder.

1, 2, 4, 67, 103, 134, 206, 268, 412, 6901, 13802

Step-4: Factors of 27612

List of positive integer factors of 27612 that divides 27604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 59, 78, 117, 118, 156, 177, 234, 236, 354, 468, 531, 708, 767, 1062, 1534, 2124, 2301, 3068, 4602, 6903, 9204, 13806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27604 and 27612. The biggest common factor number is the GCF number.
So the greatest common factor 27604 and 27612 is 4.

Also check out the Least Common Multiple of 27604 and 27612