What is the Greatest Common Factor of 9624 and 9632?

Greatest common factor (GCF) of 9624 and 9632 is 8.

GCF(9624,9632) = 8

We will now calculate the prime factors of 9624 and 9632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9624 and 9632.

How to find the GCF of 9624 and 9632?

We will first find the prime factorization of 9624 and 9632. After we will calculate the factors of 9624 and 9632 and find the biggest common factor number .

Step-1: Prime Factorization of 9624

Prime factors of 9624 are 2, 3, 401. Prime factorization of 9624 in exponential form is:

9624 = 2³ × 3¹ × 401¹

Step-2: Prime Factorization of 9632

Prime factors of 9632 are 2, 7, 43. Prime factorization of 9632 in exponential form is:

9632 = 2⁵ × 7¹ × 43¹

Step-3: Factors of 9624

List of positive integer factors of 9624 that divides 9624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812

Step-4: Factors of 9632

List of positive integer factors of 9632 that divides 9624 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 86, 112, 172, 224, 301, 344, 602, 688, 1204, 1376, 2408, 4816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9624 and 9632. The biggest common factor number is the GCF number.
So the greatest common factor 9624 and 9632 is 8.

Also check out the Least Common Multiple of 9624 and 9632