What is the Greatest Common Factor of 54532 and 54552?

Greatest common factor (GCF) of 54532 and 54552 is 4.

GCF(54532,54552) = 4

We will now calculate the prime factors of 54532 and 54552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54532 and 54552.

How to find the GCF of 54532 and 54552?

We will first find the prime factorization of 54532 and 54552. After we will calculate the factors of 54532 and 54552 and find the biggest common factor number .

Step-1: Prime Factorization of 54532

Prime factors of 54532 are 2, 13633. Prime factorization of 54532 in exponential form is:

54532 = 2² × 13633¹

Step-2: Prime Factorization of 54552

Prime factors of 54552 are 2, 3, 2273. Prime factorization of 54552 in exponential form is:

54552 = 2³ × 3¹ × 2273¹

Step-3: Factors of 54532

List of positive integer factors of 54532 that divides 54532 without a remainder.

1, 2, 4, 13633, 27266

Step-4: Factors of 54552

List of positive integer factors of 54552 that divides 54532 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2273, 4546, 6819, 9092, 13638, 18184, 27276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54532 and 54552. The biggest common factor number is the GCF number.
So the greatest common factor 54532 and 54552 is 4.

Also check out the Least Common Multiple of 54532 and 54552