What is the Greatest Common Factor of 48761 and 48768?

Greatest common factor (GCF) of 48761 and 48768 is 1.

GCF(48761,48768) = 1

We will now calculate the prime factors of 48761 and 48768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48761 and 48768.

How to find the GCF of 48761 and 48768?

We will first find the prime factorization of 48761 and 48768. After we will calculate the factors of 48761 and 48768 and find the biggest common factor number .

Step-1: Prime Factorization of 48761

Prime factors of 48761 are 48761. Prime factorization of 48761 in exponential form is:

48761 = 48761¹

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 48761

List of positive integer factors of 48761 that divides 48761 without a remainder.

Step-4: Factors of 48768

List of positive integer factors of 48768 that divides 48761 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 48761 and 48768. The biggest common factor number is the GCF number.
So the greatest common factor 48761 and 48768 is 1.

Also check out the Least Common Multiple of 48761 and 48768