What is the Greatest Common Factor of 8642 and 8658?

Greatest common factor (GCF) of 8642 and 8658 is 2.

GCF(8642,8658) = 2

We will now calculate the prime factors of 8642 and 8658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8642 and 8658.

How to find the GCF of 8642 and 8658?

We will first find the prime factorization of 8642 and 8658. After we will calculate the factors of 8642 and 8658 and find the biggest common factor number .

Step-1: Prime Factorization of 8642

Prime factors of 8642 are 2, 29, 149. Prime factorization of 8642 in exponential form is:

8642 = 2¹ × 29¹ × 149¹

Step-2: Prime Factorization of 8658

Prime factors of 8658 are 2, 3, 13, 37. Prime factorization of 8658 in exponential form is:

8658 = 2¹ × 3² × 13¹ × 37¹

Step-3: Factors of 8642

List of positive integer factors of 8642 that divides 8642 without a remainder.

1, 2, 29, 58, 149, 298, 4321

Step-4: Factors of 8658

List of positive integer factors of 8658 that divides 8642 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8642 and 8658. The biggest common factor number is the GCF number.
So the greatest common factor 8642 and 8658 is 2.

Also check out the Least Common Multiple of 8642 and 8658