What is the Greatest Common Factor of 10586 and 10602?

Greatest common factor (GCF) of 10586 and 10602 is 2.

GCF(10586,10602) = 2

We will now calculate the prime factors of 10586 and 10602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10586 and 10602.

How to find the GCF of 10586 and 10602?

We will first find the prime factorization of 10586 and 10602. After we will calculate the factors of 10586 and 10602 and find the biggest common factor number .

Step-1: Prime Factorization of 10586

Prime factors of 10586 are 2, 67, 79. Prime factorization of 10586 in exponential form is:

10586 = 2¹ × 67¹ × 79¹

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 10586

List of positive integer factors of 10586 that divides 10586 without a remainder.

1, 2, 67, 79, 134, 158, 5293

Step-4: Factors of 10602

List of positive integer factors of 10602 that divides 10586 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 10586 and 10602. The biggest common factor number is the GCF number.
So the greatest common factor 10586 and 10602 is 2.

Also check out the Least Common Multiple of 10586 and 10602