What is the Greatest Common Factor of 55524 and 55532?

Greatest common factor (GCF) of 55524 and 55532 is 4.

GCF(55524,55532) = 4

We will now calculate the prime factors of 55524 and 55532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55524 and 55532.

How to find the GCF of 55524 and 55532?

We will first find the prime factorization of 55524 and 55532. After we will calculate the factors of 55524 and 55532 and find the biggest common factor number .

Step-1: Prime Factorization of 55524

Prime factors of 55524 are 2, 3, 7, 661. Prime factorization of 55524 in exponential form is:

55524 = 2² × 3¹ × 7¹ × 661¹

Step-2: Prime Factorization of 55532

Prime factors of 55532 are 2, 13883. Prime factorization of 55532 in exponential form is:

55532 = 2² × 13883¹

Step-3: Factors of 55524

List of positive integer factors of 55524 that divides 55524 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 661, 1322, 1983, 2644, 3966, 4627, 7932, 9254, 13881, 18508, 27762

Step-4: Factors of 55532

List of positive integer factors of 55532 that divides 55524 without a remainder.

1, 2, 4, 13883, 27766

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55524 and 55532. The biggest common factor number is the GCF number.
So the greatest common factor 55524 and 55532 is 4.

Also check out the Least Common Multiple of 55524 and 55532