What is the Greatest Common Factor of 23562 and 23576?

Greatest common factor (GCF) of 23562 and 23576 is 14.

GCF(23562,23576) = 14

We will now calculate the prime factors of 23562 and 23576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23562 and 23576.

How to find the GCF of 23562 and 23576?

We will first find the prime factorization of 23562 and 23576. After we will calculate the factors of 23562 and 23576 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 23576

Prime factors of 23576 are 2, 7, 421. Prime factorization of 23576 in exponential form is:

23576 = 2³ × 7¹ × 421¹

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 23576

List of positive integer factors of 23576 that divides 23562 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 421, 842, 1684, 2947, 3368, 5894, 11788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23562 and 23576. The biggest common factor number is the GCF number.
So the greatest common factor 23562 and 23576 is 14.

Also check out the Least Common Multiple of 23562 and 23576