What is the Greatest Common Factor of 2604 and 2623?

Greatest common factor (GCF) of 2604 and 2623 is 1.

GCF(2604,2623) = 1

We will now calculate the prime factors of 2604 and 2623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2604 and 2623.

How to find the GCF of 2604 and 2623?

We will first find the prime factorization of 2604 and 2623. After we will calculate the factors of 2604 and 2623 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 2623

Prime factors of 2623 are 43, 61. Prime factorization of 2623 in exponential form is:

2623 = 43¹ × 61¹

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 2623

List of positive integer factors of 2623 that divides 2604 without a remainder.

1, 43, 61

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2604 and 2623. The biggest common factor number is the GCF number.
So the greatest common factor 2604 and 2623 is 1.

Also check out the Least Common Multiple of 2604 and 2623