What is the Greatest Common Factor of 23562 and 23569?

Greatest common factor (GCF) of 23562 and 23569 is 7.

GCF(23562,23569) = 7

We will now calculate the prime factors of 23562 and 23569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23562 and 23569.

How to find the GCF of 23562 and 23569?

We will first find the prime factorization of 23562 and 23569. After we will calculate the factors of 23562 and 23569 and find the biggest common factor number .

Step-1: Prime Factorization of 23562

Prime factors of 23562 are 2, 3, 7, 11, 17. Prime factorization of 23562 in exponential form is:

23562 = 2¹ × 3² × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 23569

Prime factors of 23569 are 7, 13, 37. Prime factorization of 23569 in exponential form is:

23569 = 7² × 13¹ × 37¹

Step-3: Factors of 23562

List of positive integer factors of 23562 that divides 23562 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 17, 18, 21, 22, 33, 34, 42, 51, 63, 66, 77, 99, 102, 119, 126, 153, 154, 187, 198, 231, 238, 306, 357, 374, 462, 561, 693, 714, 1071, 1122, 1309, 1386, 1683, 2142, 2618, 3366, 3927, 7854, 11781

Step-4: Factors of 23569

List of positive integer factors of 23569 that divides 23562 without a remainder.

1, 7, 13, 37, 49, 91, 259, 481, 637, 1813, 3367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23562 and 23569. The biggest common factor number is the GCF number.
So the greatest common factor 23562 and 23569 is 7.

Also check out the Least Common Multiple of 23562 and 23569