What is the Greatest Common Factor of 54788 and 54796?

Greatest common factor (GCF) of 54788 and 54796 is 4.

GCF(54788,54796) = 4

We will now calculate the prime factors of 54788 and 54796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54788 and 54796.

How to find the GCF of 54788 and 54796?

We will first find the prime factorization of 54788 and 54796. After we will calculate the factors of 54788 and 54796 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 54796

Prime factors of 54796 are 2, 7, 19, 103. Prime factorization of 54796 in exponential form is:

54796 = 2² × 7¹ × 19¹ × 103¹

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 54796

List of positive integer factors of 54796 that divides 54788 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 103, 133, 206, 266, 412, 532, 721, 1442, 1957, 2884, 3914, 7828, 13699, 27398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54788 and 54796. The biggest common factor number is the GCF number.
So the greatest common factor 54788 and 54796 is 4.

Also check out the Least Common Multiple of 54788 and 54796