What is the Greatest Common Factor of 48753 and 48768?

Greatest common factor (GCF) of 48753 and 48768 is 3.

GCF(48753,48768) = 3

We will now calculate the prime factors of 48753 and 48768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48753 and 48768.

How to find the GCF of 48753 and 48768?

We will first find the prime factorization of 48753 and 48768. After we will calculate the factors of 48753 and 48768 and find the biggest common factor number .

Step-1: Prime Factorization of 48753

Prime factors of 48753 are 3, 5417. Prime factorization of 48753 in exponential form is:

48753 = 3² × 5417¹

Step-2: Prime Factorization of 48768

Prime factors of 48768 are 2, 3, 127. Prime factorization of 48768 in exponential form is:

48768 = 2⁷ × 3¹ × 127¹

Step-3: Factors of 48753

List of positive integer factors of 48753 that divides 48753 without a remainder.

1, 3, 9, 5417, 16251

Step-4: Factors of 48768

List of positive integer factors of 48768 that divides 48753 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 127, 128, 192, 254, 381, 384, 508, 762, 1016, 1524, 2032, 3048, 4064, 6096, 8128, 12192, 16256, 24384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48753 and 48768. The biggest common factor number is the GCF number.
So the greatest common factor 48753 and 48768 is 3.

Also check out the Least Common Multiple of 48753 and 48768