What is the Greatest Common Factor of 54032 and 54038?

Greatest common factor (GCF) of 54032 and 54038 is 2.

GCF(54032,54038) = 2

We will now calculate the prime factors of 54032 and 54038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54032 and 54038.

How to find the GCF of 54032 and 54038?

We will first find the prime factorization of 54032 and 54038. After we will calculate the factors of 54032 and 54038 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 54038

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

54038 = 2¹ × 41¹ × 659¹

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 54038

List of positive integer factors of 54038 that divides 54032 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54032 and 54038. The biggest common factor number is the GCF number.
So the greatest common factor 54032 and 54038 is 2.

Also check out the Least Common Multiple of 54032 and 54038