What is the Greatest Common Factor of 23532 and 23549?

Greatest common factor (GCF) of 23532 and 23549 is 1.

GCF(23532,23549) = 1

We will now calculate the prime factors of 23532 and 23549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23532 and 23549.

How to find the GCF of 23532 and 23549?

We will first find the prime factorization of 23532 and 23549. After we will calculate the factors of 23532 and 23549 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23549

Prime factors of 23549 are 23549. Prime factorization of 23549 in exponential form is:

23549 = 23549¹

Step-3: Factors of 23532

List of positive integer factors of 23532 that divides 23532 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

Step-4: Factors of 23549

List of positive integer factors of 23549 that divides 23532 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23532 and 23549. The biggest common factor number is the GCF number.
So the greatest common factor 23532 and 23549 is 1.

Also check out the Least Common Multiple of 23532 and 23549