What is the Greatest Common Factor of 54048 and 54058?

Greatest common factor (GCF) of 54048 and 54058 is 2.

GCF(54048,54058) = 2

We will now calculate the prime factors of 54048 and 54058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54048 and 54058.

How to find the GCF of 54048 and 54058?

We will first find the prime factorization of 54048 and 54058. After we will calculate the factors of 54048 and 54058 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 54058

Prime factors of 54058 are 2, 151, 179. Prime factorization of 54058 in exponential form is:

54058 = 2¹ × 151¹ × 179¹

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 54058

List of positive integer factors of 54058 that divides 54048 without a remainder.

1, 2, 151, 179, 302, 358, 27029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54048 and 54058. The biggest common factor number is the GCF number.
So the greatest common factor 54048 and 54058 is 2.

Also check out the Least Common Multiple of 54048 and 54058