What is the Greatest Common Factor of 54782 and 54788?

Greatest common factor (GCF) of 54782 and 54788 is 2.

GCF(54782,54788) = 2

We will now calculate the prime factors of 54782 and 54788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54782 and 54788.

How to find the GCF of 54782 and 54788?

We will first find the prime factorization of 54782 and 54788. After we will calculate the factors of 54782 and 54788 and find the biggest common factor number .

Step-1: Prime Factorization of 54782

Prime factors of 54782 are 2, 7, 13, 43. Prime factorization of 54782 in exponential form is:

54782 = 2¹ × 7² × 13¹ × 43¹

Step-2: Prime Factorization of 54788

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

54788 = 2² × 13697¹

Step-3: Factors of 54782

List of positive integer factors of 54782 that divides 54782 without a remainder.

1, 2, 7, 13, 14, 26, 43, 49, 86, 91, 98, 182, 301, 559, 602, 637, 1118, 1274, 2107, 3913, 4214, 7826, 27391

Step-4: Factors of 54788

List of positive integer factors of 54788 that divides 54782 without a remainder.

1, 2, 4, 13697, 27394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54782 and 54788. The biggest common factor number is the GCF number.
So the greatest common factor 54782 and 54788 is 2.

Also check out the Least Common Multiple of 54782 and 54788