What is the Greatest Common Factor of 54016 and 54036?

Greatest common factor (GCF) of 54016 and 54036 is 4.

GCF(54016,54036) = 4

We will now calculate the prime factors of 54016 and 54036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54016 and 54036.

How to find the GCF of 54016 and 54036?

We will first find the prime factorization of 54016 and 54036. After we will calculate the factors of 54016 and 54036 and find the biggest common factor number .

Step-1: Prime Factorization of 54016

Prime factors of 54016 are 2, 211. Prime factorization of 54016 in exponential form is:

54016 = 2⁸ × 211¹

Step-2: Prime Factorization of 54036

Prime factors of 54036 are 2, 3, 19, 79. Prime factorization of 54036 in exponential form is:

54036 = 2² × 3² × 19¹ × 79¹

Step-3: Factors of 54016

List of positive integer factors of 54016 that divides 54016 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 211, 256, 422, 844, 1688, 3376, 6752, 13504, 27008

Step-4: Factors of 54036

List of positive integer factors of 54036 that divides 54016 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 79, 114, 158, 171, 228, 237, 316, 342, 474, 684, 711, 948, 1422, 1501, 2844, 3002, 4503, 6004, 9006, 13509, 18012, 27018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54016 and 54036. The biggest common factor number is the GCF number.
So the greatest common factor 54016 and 54036 is 4.

Also check out the Least Common Multiple of 54016 and 54036