What is the Greatest Common Factor of 9628 and 9632?

Greatest common factor (GCF) of 9628 and 9632 is 4.

GCF(9628,9632) = 4

We will now calculate the prime factors of 9628 and 9632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9628 and 9632.

How to find the GCF of 9628 and 9632?

We will first find the prime factorization of 9628 and 9632. After we will calculate the factors of 9628 and 9632 and find the biggest common factor number .

Step-1: Prime Factorization of 9628

Prime factors of 9628 are 2, 29, 83. Prime factorization of 9628 in exponential form is:

9628 = 2² × 29¹ × 83¹

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 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814

Step-4: Factors of 9632

List of positive integer factors of 9632 that divides 9628 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 9628 and 9632. The biggest common factor number is the GCF number.
So the greatest common factor 9628 and 9632 is 4.

Also check out the Least Common Multiple of 9628 and 9632