What is the Greatest Common Factor of 54788 and 54804?

Greatest common factor (GCF) of 54788 and 54804 is 4.

GCF(54788,54804) = 4

We will now calculate the prime factors of 54788 and 54804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54788 and 54804.

How to find the GCF of 54788 and 54804?

We will first find the prime factorization of 54788 and 54804. After we will calculate the factors of 54788 and 54804 and find the biggest common factor number .

Step-1: Prime Factorization of 54788

Prime factors of 54788 are 2, 13697. Prime factorization of 54788 in exponential form is:

54788 = 2² × 13697¹

Step-2: Prime Factorization of 54804

Prime factors of 54804 are 2, 3, 4567. Prime factorization of 54804 in exponential form is:

54804 = 2² × 3¹ × 4567¹

Step-3: Factors of 54788

List of positive integer factors of 54788 that divides 54788 without a remainder.

1, 2, 4, 13697, 27394

Step-4: Factors of 54804

List of positive integer factors of 54804 that divides 54788 without a remainder.

1, 2, 3, 4, 6, 12, 4567, 9134, 13701, 18268, 27402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54788 and 54804. The biggest common factor number is the GCF number.
So the greatest common factor 54788 and 54804 is 4.

Also check out the Least Common Multiple of 54788 and 54804