What is the Greatest Common Factor of 88648 and 88668?

Greatest common factor (GCF) of 88648 and 88668 is 4.

GCF(88648,88668) = 4

We will now calculate the prime factors of 88648 and 88668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88648 and 88668.

How to find the GCF of 88648 and 88668?

We will first find the prime factorization of 88648 and 88668. After we will calculate the factors of 88648 and 88668 and find the biggest common factor number .

Step-1: Prime Factorization of 88648

Prime factors of 88648 are 2, 7, 1583. Prime factorization of 88648 in exponential form is:

88648 = 2³ × 7¹ × 1583¹

Step-2: Prime Factorization of 88668

Prime factors of 88668 are 2, 3, 821. Prime factorization of 88668 in exponential form is:

88668 = 2² × 3³ × 821¹

Step-3: Factors of 88648

List of positive integer factors of 88648 that divides 88648 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1583, 3166, 6332, 11081, 12664, 22162, 44324

Step-4: Factors of 88668

List of positive integer factors of 88668 that divides 88648 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 821, 1642, 2463, 3284, 4926, 7389, 9852, 14778, 22167, 29556, 44334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88648 and 88668. The biggest common factor number is the GCF number.
So the greatest common factor 88648 and 88668 is 4.

Also check out the Least Common Multiple of 88648 and 88668