What is the Greatest Common Factor of 54014 and 54032?

Greatest common factor (GCF) of 54014 and 54032 is 2.

GCF(54014,54032) = 2

We will now calculate the prime factors of 54014 and 54032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54014 and 54032.

How to find the GCF of 54014 and 54032?

We will first find the prime factorization of 54014 and 54032. After we will calculate the factors of 54014 and 54032 and find the biggest common factor number .

Step-1: Prime Factorization of 54014

Prime factors of 54014 are 2, 113, 239. Prime factorization of 54014 in exponential form is:

54014 = 2¹ × 113¹ × 239¹

Step-2: 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-3: Factors of 54014

List of positive integer factors of 54014 that divides 54014 without a remainder.

1, 2, 113, 226, 239, 478, 27007

Step-4: Factors of 54032

List of positive integer factors of 54032 that divides 54014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54014 and 54032. The biggest common factor number is the GCF number.
So the greatest common factor 54014 and 54032 is 2.

Also check out the Least Common Multiple of 54014 and 54032