What is the Greatest Common Factor of 54775 and 54782?

Greatest common factor (GCF) of 54775 and 54782 is 7.

GCF(54775,54782) = 7

We will now calculate the prime factors of 54775 and 54782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54775 and 54782.

How to find the GCF of 54775 and 54782?

We will first find the prime factorization of 54775 and 54782. After we will calculate the factors of 54775 and 54782 and find the biggest common factor number .

Step-1: Prime Factorization of 54775

Prime factors of 54775 are 5, 7, 313. Prime factorization of 54775 in exponential form is:

54775 = 5² × 7¹ × 313¹

Step-2: 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-3: Factors of 54775

List of positive integer factors of 54775 that divides 54775 without a remainder.

1, 5, 7, 25, 35, 175, 313, 1565, 2191, 7825, 10955

Step-4: Factors of 54782

List of positive integer factors of 54782 that divides 54775 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54775 and 54782. The biggest common factor number is the GCF number.
So the greatest common factor 54775 and 54782 is 7.

Also check out the Least Common Multiple of 54775 and 54782