What is the Greatest Common Factor of 10583 and 10602?

Greatest common factor (GCF) of 10583 and 10602 is 19.

GCF(10583,10602) = 19

We will now calculate the prime factors of 10583 and 10602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10583 and 10602.

How to find the GCF of 10583 and 10602?

We will first find the prime factorization of 10583 and 10602. After we will calculate the factors of 10583 and 10602 and find the biggest common factor number .

Step-1: Prime Factorization of 10583

Prime factors of 10583 are 19, 557. Prime factorization of 10583 in exponential form is:

10583 = 19¹ × 557¹

Step-2: Prime Factorization of 10602

Prime factors of 10602 are 2, 3, 19, 31. Prime factorization of 10602 in exponential form is:

10602 = 2¹ × 3² × 19¹ × 31¹

Step-3: Factors of 10583

List of positive integer factors of 10583 that divides 10583 without a remainder.

1, 19, 557

Step-4: Factors of 10602

List of positive integer factors of 10602 that divides 10583 without a remainder.

1, 2, 3, 6, 9, 18, 19, 31, 38, 57, 62, 93, 114, 171, 186, 279, 342, 558, 589, 1178, 1767, 3534, 5301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10583 and 10602. The biggest common factor number is the GCF number.
So the greatest common factor 10583 and 10602 is 19.

Also check out the Least Common Multiple of 10583 and 10602