What is the Greatest Common Factor of 2586 and 2602?

Greatest common factor (GCF) of 2586 and 2602 is 2.

GCF(2586,2602) = 2

We will now calculate the prime factors of 2586 and 2602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2586 and 2602.

How to find the GCF of 2586 and 2602?

We will first find the prime factorization of 2586 and 2602. After we will calculate the factors of 2586 and 2602 and find the biggest common factor number .

Step-1: Prime Factorization of 2586

Prime factors of 2586 are 2, 3, 431. Prime factorization of 2586 in exponential form is:

2586 = 2¹ × 3¹ × 431¹

Step-2: Prime Factorization of 2602

Prime factors of 2602 are 2, 1301. Prime factorization of 2602 in exponential form is:

2602 = 2¹ × 1301¹

Step-3: Factors of 2586

List of positive integer factors of 2586 that divides 2586 without a remainder.

1, 2, 3, 6, 431, 862, 1293

Step-4: Factors of 2602

List of positive integer factors of 2602 that divides 2586 without a remainder.

1, 2, 1301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2586 and 2602. The biggest common factor number is the GCF number.
So the greatest common factor 2586 and 2602 is 2.

Also check out the Least Common Multiple of 2586 and 2602