What is the Greatest Common Factor of 9618 and 9632?

Greatest common factor (GCF) of 9618 and 9632 is 14.

GCF(9618,9632) = 14

We will now calculate the prime factors of 9618 and 9632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9618 and 9632.

How to find the GCF of 9618 and 9632?

We will first find the prime factorization of 9618 and 9632. After we will calculate the factors of 9618 and 9632 and find the biggest common factor number .

Step-1: Prime Factorization of 9618

Prime factors of 9618 are 2, 3, 7, 229. Prime factorization of 9618 in exponential form is:

9618 = 2¹ × 3¹ × 7¹ × 229¹

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 9618

List of positive integer factors of 9618 that divides 9618 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809

Step-4: Factors of 9632

List of positive integer factors of 9632 that divides 9618 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 9618 and 9632. The biggest common factor number is the GCF number.
So the greatest common factor 9618 and 9632 is 14.

Also check out the Least Common Multiple of 9618 and 9632