What is the Greatest Common Factor of 8648 and 8662?

Greatest common factor (GCF) of 8648 and 8662 is 2.

GCF(8648,8662) = 2

We will now calculate the prime factors of 8648 and 8662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8648 and 8662.

How to find the GCF of 8648 and 8662?

We will first find the prime factorization of 8648 and 8662. After we will calculate the factors of 8648 and 8662 and find the biggest common factor number .

Step-1: Prime Factorization of 8648

Prime factors of 8648 are 2, 23, 47. Prime factorization of 8648 in exponential form is:

8648 = 2³ × 23¹ × 47¹

Step-2: Prime Factorization of 8662

Prime factors of 8662 are 2, 61, 71. Prime factorization of 8662 in exponential form is:

8662 = 2¹ × 61¹ × 71¹

Step-3: Factors of 8648

List of positive integer factors of 8648 that divides 8648 without a remainder.

1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324

Step-4: Factors of 8662

List of positive integer factors of 8662 that divides 8648 without a remainder.

1, 2, 61, 71, 122, 142, 4331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8648 and 8662. The biggest common factor number is the GCF number.
So the greatest common factor 8648 and 8662 is 2.

Also check out the Least Common Multiple of 8648 and 8662