What is the Greatest Common Factor of 54048 and 54052?

Greatest common factor (GCF) of 54048 and 54052 is 4.

GCF(54048,54052) = 4

We will now calculate the prime factors of 54048 and 54052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54048 and 54052.

How to find the GCF of 54048 and 54052?

We will first find the prime factorization of 54048 and 54052. After we will calculate the factors of 54048 and 54052 and find the biggest common factor number .

Step-1: Prime Factorization of 54048

Prime factors of 54048 are 2, 3, 563. Prime factorization of 54048 in exponential form is:

54048 = 2⁵ × 3¹ × 563¹

Step-2: Prime Factorization of 54052

Prime factors of 54052 are 2, 13513. Prime factorization of 54052 in exponential form is:

54052 = 2² × 13513¹

Step-3: Factors of 54048

List of positive integer factors of 54048 that divides 54048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512, 18016, 27024

Step-4: Factors of 54052

List of positive integer factors of 54052 that divides 54048 without a remainder.

1, 2, 4, 13513, 27026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54048 and 54052. The biggest common factor number is the GCF number.
So the greatest common factor 54048 and 54052 is 4.

Also check out the Least Common Multiple of 54048 and 54052