What is the Greatest Common Factor of 54032 and 54044?

Greatest common factor (GCF) of 54032 and 54044 is 4.

GCF(54032,54044) = 4

We will now calculate the prime factors of 54032 and 54044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54032 and 54044.

How to find the GCF of 54032 and 54044?

We will first find the prime factorization of 54032 and 54044. After we will calculate the factors of 54032 and 54044 and find the biggest common factor number .

Step-1: Prime Factorization of 54032

Prime factors of 54032 are 2, 11, 307. Prime factorization of 54032 in exponential form is:

54032 = 2⁴ × 11¹ × 307¹

Step-2: Prime Factorization of 54044

Prime factors of 54044 are 2, 59, 229. Prime factorization of 54044 in exponential form is:

54044 = 2² × 59¹ × 229¹

Step-3: Factors of 54032

List of positive integer factors of 54032 that divides 54032 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 307, 614, 1228, 2456, 3377, 4912, 6754, 13508, 27016

Step-4: Factors of 54044

List of positive integer factors of 54044 that divides 54032 without a remainder.

1, 2, 4, 59, 118, 229, 236, 458, 916, 13511, 27022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54032 and 54044. The biggest common factor number is the GCF number.
So the greatest common factor 54032 and 54044 is 4.

Also check out the Least Common Multiple of 54032 and 54044