What is the Greatest Common Factor of 2574 and 2585?

Greatest common factor (GCF) of 2574 and 2585 is 11.

GCF(2574,2585) = 11

We will now calculate the prime factors of 2574 and 2585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2574 and 2585.

How to find the GCF of 2574 and 2585?

We will first find the prime factorization of 2574 and 2585. After we will calculate the factors of 2574 and 2585 and find the biggest common factor number .

Step-1: Prime Factorization of 2574

Prime factors of 2574 are 2, 3, 11, 13. Prime factorization of 2574 in exponential form is:

2574 = 2¹ × 3² × 11¹ × 13¹

Step-2: 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-3: Factors of 2574

List of positive integer factors of 2574 that divides 2574 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287

Step-4: Factors of 2585

List of positive integer factors of 2585 that divides 2574 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2574 and 2585. The biggest common factor number is the GCF number.
So the greatest common factor 2574 and 2585 is 11.

Also check out the Least Common Multiple of 2574 and 2585