What is the Greatest Common Factor of 53523 and 53532?

Greatest common factor (GCF) of 53523 and 53532 is 9.

GCF(53523,53532) = 9

We will now calculate the prime factors of 53523 and 53532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53523 and 53532.

How to find the GCF of 53523 and 53532?

We will first find the prime factorization of 53523 and 53532. After we will calculate the factors of 53523 and 53532 and find the biggest common factor number .

Step-1: Prime Factorization of 53523

Prime factors of 53523 are 3, 19, 313. Prime factorization of 53523 in exponential form is:

53523 = 3² × 19¹ × 313¹

Step-2: Prime Factorization of 53532

Prime factors of 53532 are 2, 3, 1487. Prime factorization of 53532 in exponential form is:

53532 = 2² × 3² × 1487¹

Step-3: Factors of 53523

List of positive integer factors of 53523 that divides 53523 without a remainder.

1, 3, 9, 19, 57, 171, 313, 939, 2817, 5947, 17841

Step-4: Factors of 53532

List of positive integer factors of 53532 that divides 53523 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1487, 2974, 4461, 5948, 8922, 13383, 17844, 26766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53523 and 53532. The biggest common factor number is the GCF number.
So the greatest common factor 53523 and 53532 is 9.

Also check out the Least Common Multiple of 53523 and 53532