What is the Greatest Common Factor of 84648 and 84662?

Greatest common factor (GCF) of 84648 and 84662 is 2.

GCF(84648,84662) = 2

We will now calculate the prime factors of 84648 and 84662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84648 and 84662.

How to find the GCF of 84648 and 84662?

We will first find the prime factorization of 84648 and 84662. After we will calculate the factors of 84648 and 84662 and find the biggest common factor number .

Step-1: Prime Factorization of 84648

Prime factors of 84648 are 2, 3, 3527. Prime factorization of 84648 in exponential form is:

84648 = 2³ × 3¹ × 3527¹

Step-2: Prime Factorization of 84662

Prime factors of 84662 are 2, 42331. Prime factorization of 84662 in exponential form is:

84662 = 2¹ × 42331¹

Step-3: Factors of 84648

List of positive integer factors of 84648 that divides 84648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3527, 7054, 10581, 14108, 21162, 28216, 42324

Step-4: Factors of 84662

List of positive integer factors of 84662 that divides 84648 without a remainder.

1, 2, 42331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84648 and 84662. The biggest common factor number is the GCF number.
So the greatest common factor 84648 and 84662 is 2.

Also check out the Least Common Multiple of 84648 and 84662