What is the Greatest Common Factor of 23618 and 23632?

Greatest common factor (GCF) of 23618 and 23632 is 14.

GCF(23618,23632) = 14

We will now calculate the prime factors of 23618 and 23632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23618 and 23632.

How to find the GCF of 23618 and 23632?

We will first find the prime factorization of 23618 and 23632. After we will calculate the factors of 23618 and 23632 and find the biggest common factor number .

Step-1: Prime Factorization of 23618

Prime factors of 23618 are 2, 7, 241. Prime factorization of 23618 in exponential form is:

23618 = 2¹ × 7² × 241¹

Step-2: Prime Factorization of 23632

Prime factors of 23632 are 2, 7, 211. Prime factorization of 23632 in exponential form is:

23632 = 2⁴ × 7¹ × 211¹

Step-3: Factors of 23618

List of positive integer factors of 23618 that divides 23618 without a remainder.

1, 2, 7, 14, 49, 98, 241, 482, 1687, 3374, 11809

Step-4: Factors of 23632

List of positive integer factors of 23632 that divides 23618 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 211, 422, 844, 1477, 1688, 2954, 3376, 5908, 11816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23618 and 23632. The biggest common factor number is the GCF number.
So the greatest common factor 23618 and 23632 is 14.

Also check out the Least Common Multiple of 23618 and 23632