What is the Greatest Common Factor of 54744 and 54762?

Greatest common factor (GCF) of 54744 and 54762 is 6.

GCF(54744,54762) = 6

We will now calculate the prime factors of 54744 and 54762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54744 and 54762.

How to find the GCF of 54744 and 54762?

We will first find the prime factorization of 54744 and 54762. After we will calculate the factors of 54744 and 54762 and find the biggest common factor number .

Step-1: Prime Factorization of 54744

Prime factors of 54744 are 2, 3, 2281. Prime factorization of 54744 in exponential form is:

54744 = 2³ × 3¹ × 2281¹

Step-2: Prime Factorization of 54762

Prime factors of 54762 are 2, 3, 9127. Prime factorization of 54762 in exponential form is:

54762 = 2¹ × 3¹ × 9127¹

Step-3: Factors of 54744

List of positive integer factors of 54744 that divides 54744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2281, 4562, 6843, 9124, 13686, 18248, 27372

Step-4: Factors of 54762

List of positive integer factors of 54762 that divides 54744 without a remainder.

1, 2, 3, 6, 9127, 18254, 27381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54744 and 54762. The biggest common factor number is the GCF number.
So the greatest common factor 54744 and 54762 is 6.

Also check out the Least Common Multiple of 54744 and 54762