What is the Greatest Common Factor of 2604 and 2616?

Greatest common factor (GCF) of 2604 and 2616 is 12.

GCF(2604,2616) = 12

We will now calculate the prime factors of 2604 and 2616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2604 and 2616.

How to find the GCF of 2604 and 2616?

We will first find the prime factorization of 2604 and 2616. After we will calculate the factors of 2604 and 2616 and find the biggest common factor number .

Step-1: Prime Factorization of 2604

Prime factors of 2604 are 2, 3, 7, 31. Prime factorization of 2604 in exponential form is:

2604 = 2² × 3¹ × 7¹ × 31¹

Step-2: Prime Factorization of 2616

Prime factors of 2616 are 2, 3, 109. Prime factorization of 2616 in exponential form is:

2616 = 2³ × 3¹ × 109¹

Step-3: Factors of 2604

List of positive integer factors of 2604 that divides 2604 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302

Step-4: Factors of 2616

List of positive integer factors of 2616 that divides 2604 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 109, 218, 327, 436, 654, 872, 1308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2604 and 2616. The biggest common factor number is the GCF number.
So the greatest common factor 2604 and 2616 is 12.

Also check out the Least Common Multiple of 2604 and 2616