What is the Greatest Common Factor of 23548 and 23562?

Greatest common factor (GCF) of 23548 and 23562 is 14.

GCF(23548,23562) = 14

We will now calculate the prime factors of 23548 and 23562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23548 and 23562.

How to find the GCF of 23548 and 23562?

We will first find the prime factorization of 23548 and 23562. After we will calculate the factors of 23548 and 23562 and find the biggest common factor number .

Step-1: Prime Factorization of 23548

Prime factors of 23548 are 2, 7, 29. Prime factorization of 23548 in exponential form is:

23548 = 2² × 7¹ × 29²

Step-2: 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-3: Factors of 23548

List of positive integer factors of 23548 that divides 23548 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812, 841, 1682, 3364, 5887, 11774

Step-4: Factors of 23562

List of positive integer factors of 23562 that divides 23548 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23548 and 23562. The biggest common factor number is the GCF number.
So the greatest common factor 23548 and 23562 is 14.

Also check out the Least Common Multiple of 23548 and 23562