What is the Greatest Common Factor of 23518 and 23532?

Greatest common factor (GCF) of 23518 and 23532 is 2.

GCF(23518,23532) = 2

We will now calculate the prime factors of 23518 and 23532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23518 and 23532.

How to find the GCF of 23518 and 23532?

We will first find the prime factorization of 23518 and 23532. After we will calculate the factors of 23518 and 23532 and find the biggest common factor number .

Step-1: Prime Factorization of 23518

Prime factors of 23518 are 2, 11, 1069. Prime factorization of 23518 in exponential form is:

23518 = 2¹ × 11¹ × 1069¹

Step-2: Prime Factorization of 23532

Prime factors of 23532 are 2, 3, 37, 53. Prime factorization of 23532 in exponential form is:

23532 = 2² × 3¹ × 37¹ × 53¹

Step-3: Factors of 23518

List of positive integer factors of 23518 that divides 23518 without a remainder.

1, 2, 11, 22, 1069, 2138, 11759

Step-4: Factors of 23532

List of positive integer factors of 23532 that divides 23518 without a remainder.

1, 2, 3, 4, 6, 12, 37, 53, 74, 106, 111, 148, 159, 212, 222, 318, 444, 636, 1961, 3922, 5883, 7844, 11766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23518 and 23532. The biggest common factor number is the GCF number.
So the greatest common factor 23518 and 23532 is 2.

Also check out the Least Common Multiple of 23518 and 23532