What is the Greatest Common Factor of 25587 and 25602?

Greatest common factor (GCF) of 25587 and 25602 is 3.

GCF(25587,25602) = 3

We will now calculate the prime factors of 25587 and 25602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25587 and 25602.

How to find the GCF of 25587 and 25602?

We will first find the prime factorization of 25587 and 25602. After we will calculate the factors of 25587 and 25602 and find the biggest common factor number .

Step-1: Prime Factorization of 25587

Prime factors of 25587 are 3, 2843. Prime factorization of 25587 in exponential form is:

25587 = 3² × 2843¹

Step-2: Prime Factorization of 25602

Prime factors of 25602 are 2, 3, 17, 251. Prime factorization of 25602 in exponential form is:

25602 = 2¹ × 3¹ × 17¹ × 251¹

Step-3: Factors of 25587

List of positive integer factors of 25587 that divides 25587 without a remainder.

1, 3, 9, 2843, 8529

Step-4: Factors of 25602

List of positive integer factors of 25602 that divides 25587 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 251, 502, 753, 1506, 4267, 8534, 12801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25587 and 25602. The biggest common factor number is the GCF number.
So the greatest common factor 25587 and 25602 is 3.

Also check out the Least Common Multiple of 25587 and 25602