What is the Greatest Common Factor of 2585 and 2604?

Greatest common factor (GCF) of 2585 and 2604 is 1.

GCF(2585,2604) = 1

We will now calculate the prime factors of 2585 and 2604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2585 and 2604.

How to find the GCF of 2585 and 2604?

We will first find the prime factorization of 2585 and 2604. After we will calculate the factors of 2585 and 2604 and find the biggest common factor number .

Step-1: Prime Factorization of 2585

Prime factors of 2585 are 5, 11, 47. Prime factorization of 2585 in exponential form is:

2585 = 5¹ × 11¹ × 47¹

Step-2: 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-3: Factors of 2585

List of positive integer factors of 2585 that divides 2585 without a remainder.

1, 5, 11, 47, 55, 235, 517

Step-4: Factors of 2604

List of positive integer factors of 2604 that divides 2585 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2585 and 2604. The biggest common factor number is the GCF number.
So the greatest common factor 2585 and 2604 is 1.

Also check out the Least Common Multiple of 2585 and 2604