What is the Greatest Common Factor of 54012 and 54019?

Greatest common factor (GCF) of 54012 and 54019 is 7.

GCF(54012,54019) = 7

We will now calculate the prime factors of 54012 and 54019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54012 and 54019.

How to find the GCF of 54012 and 54019?

We will first find the prime factorization of 54012 and 54019. After we will calculate the factors of 54012 and 54019 and find the biggest common factor number .

Step-1: Prime Factorization of 54012

Prime factors of 54012 are 2, 3, 7, 643. Prime factorization of 54012 in exponential form is:

54012 = 2² × 3¹ × 7¹ × 643¹

Step-2: Prime Factorization of 54019

Prime factors of 54019 are 7, 7717. Prime factorization of 54019 in exponential form is:

54019 = 7¹ × 7717¹

Step-3: Factors of 54012

List of positive integer factors of 54012 that divides 54012 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 643, 1286, 1929, 2572, 3858, 4501, 7716, 9002, 13503, 18004, 27006

Step-4: Factors of 54019

List of positive integer factors of 54019 that divides 54012 without a remainder.

1, 7, 7717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54012 and 54019. The biggest common factor number is the GCF number.
So the greatest common factor 54012 and 54019 is 7.

Also check out the Least Common Multiple of 54012 and 54019