What is the Greatest Common Factor of 54038 and 54048?

Greatest common factor (GCF) of 54038 and 54048 is 2.

GCF(54038,54048) = 2

We will now calculate the prime factors of 54038 and 54048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54038 and 54048.

How to find the GCF of 54038 and 54048?

We will first find the prime factorization of 54038 and 54048. After we will calculate the factors of 54038 and 54048 and find the biggest common factor number .

Step-1: Prime Factorization of 54038

Prime factors of 54038 are 2, 41, 659. Prime factorization of 54038 in exponential form is:

54038 = 2¹ × 41¹ × 659¹

Step-2: 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-3: Factors of 54038

List of positive integer factors of 54038 that divides 54038 without a remainder.

1, 2, 41, 82, 659, 1318, 27019

Step-4: Factors of 54048

List of positive integer factors of 54048 that divides 54038 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54038 and 54048. The biggest common factor number is the GCF number.
So the greatest common factor 54038 and 54048 is 2.

Also check out the Least Common Multiple of 54038 and 54048