What is the Greatest Common Factor of 54144 and 54158?

Greatest common factor (GCF) of 54144 and 54158 is 2.

GCF(54144,54158) = 2

We will now calculate the prime factors of 54144 and 54158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54144 and 54158.

How to find the GCF of 54144 and 54158?

We will first find the prime factorization of 54144 and 54158. After we will calculate the factors of 54144 and 54158 and find the biggest common factor number .

Step-1: Prime Factorization of 54144

Prime factors of 54144 are 2, 3, 47. Prime factorization of 54144 in exponential form is:

54144 = 2⁷ × 3² × 47¹

Step-2: Prime Factorization of 54158

Prime factors of 54158 are 2, 13, 2083. Prime factorization of 54158 in exponential form is:

54158 = 2¹ × 13¹ × 2083¹

Step-3: Factors of 54144

List of positive integer factors of 54144 that divides 54144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 47, 48, 64, 72, 94, 96, 128, 141, 144, 188, 192, 282, 288, 376, 384, 423, 564, 576, 752, 846, 1128, 1152, 1504, 1692, 2256, 3008, 3384, 4512, 6016, 6768, 9024, 13536, 18048, 27072

Step-4: Factors of 54158

List of positive integer factors of 54158 that divides 54144 without a remainder.

1, 2, 13, 26, 2083, 4166, 27079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54144 and 54158. The biggest common factor number is the GCF number.
So the greatest common factor 54144 and 54158 is 2.

Also check out the Least Common Multiple of 54144 and 54158