What is the Greatest Common Factor of 54747 and 54761?

Greatest common factor (GCF) of 54747 and 54761 is 7.

GCF(54747,54761) = 7

We will now calculate the prime factors of 54747 and 54761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54747 and 54761.

How to find the GCF of 54747 and 54761?

We will first find the prime factorization of 54747 and 54761. After we will calculate the factors of 54747 and 54761 and find the biggest common factor number .

Step-1: Prime Factorization of 54747

Prime factors of 54747 are 3, 7, 11, 79. Prime factorization of 54747 in exponential form is:

54747 = 3² × 7¹ × 11¹ × 79¹

Step-2: Prime Factorization of 54761

Prime factors of 54761 are 7, 7823. Prime factorization of 54761 in exponential form is:

54761 = 7¹ × 7823¹

Step-3: Factors of 54747

List of positive integer factors of 54747 that divides 54747 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 79, 99, 231, 237, 553, 693, 711, 869, 1659, 2607, 4977, 6083, 7821, 18249

Step-4: Factors of 54761

List of positive integer factors of 54761 that divides 54747 without a remainder.

1, 7, 7823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54747 and 54761. The biggest common factor number is the GCF number.
So the greatest common factor 54747 and 54761 is 7.

Also check out the Least Common Multiple of 54747 and 54761