What is the Greatest Common Factor of 66624 and 66632?

Greatest common factor (GCF) of 66624 and 66632 is 8.

GCF(66624,66632) = 8

We will now calculate the prime factors of 66624 and 66632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66624 and 66632.

How to find the GCF of 66624 and 66632?

We will first find the prime factorization of 66624 and 66632. After we will calculate the factors of 66624 and 66632 and find the biggest common factor number .

Step-1: Prime Factorization of 66624

Prime factors of 66624 are 2, 3, 347. Prime factorization of 66624 in exponential form is:

66624 = 2⁶ × 3¹ × 347¹

Step-2: Prime Factorization of 66632

Prime factors of 66632 are 2, 8329. Prime factorization of 66632 in exponential form is:

66632 = 2³ × 8329¹

Step-3: Factors of 66624

List of positive integer factors of 66624 that divides 66624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 347, 694, 1041, 1388, 2082, 2776, 4164, 5552, 8328, 11104, 16656, 22208, 33312

Step-4: Factors of 66632

List of positive integer factors of 66632 that divides 66624 without a remainder.

1, 2, 4, 8, 8329, 16658, 33316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66624 and 66632. The biggest common factor number is the GCF number.
So the greatest common factor 66624 and 66632 is 8.

Also check out the Least Common Multiple of 66624 and 66632