What is the Greatest Common Factor of 54761 and 54768?

Greatest common factor (GCF) of 54761 and 54768 is 7.

GCF(54761,54768) = 7

We will now calculate the prime factors of 54761 and 54768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54761 and 54768.

How to find the GCF of 54761 and 54768?

We will first find the prime factorization of 54761 and 54768. After we will calculate the factors of 54761 and 54768 and find the biggest common factor number .

Step-1: Prime Factorization of 54761

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

54761 = 7¹ × 7823¹

Step-2: Prime Factorization of 54768

Prime factors of 54768 are 2, 3, 7, 163. Prime factorization of 54768 in exponential form is:

54768 = 2⁴ × 3¹ × 7¹ × 163¹

Step-3: Factors of 54761

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

1, 7, 7823

Step-4: Factors of 54768

List of positive integer factors of 54768 that divides 54761 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 163, 168, 326, 336, 489, 652, 978, 1141, 1304, 1956, 2282, 2608, 3423, 3912, 4564, 6846, 7824, 9128, 13692, 18256, 27384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54761 and 54768. The biggest common factor number is the GCF number.
So the greatest common factor 54761 and 54768 is 7.

Also check out the Least Common Multiple of 54761 and 54768