What is the Greatest Common Factor of 48768 and 48778?

Greatest common factor (GCF) of 48768 and 48778 is 2.

GCF(48768,48778) = 2

We will now calculate the prime factors of 48768 and 48778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48768 and 48778.

How to find the GCF of 48768 and 48778?

We will first find the prime factorization of 48768 and 48778. After we will calculate the factors of 48768 and 48778 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48778

Prime factors of 48778 are 2, 29. Prime factorization of 48778 in exponential form is:

48778 = 2¹ × 29³

Step-3: Factors of 48768

List of positive integer factors of 48768 that divides 48768 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

Step-4: Factors of 48778

List of positive integer factors of 48778 that divides 48768 without a remainder.

1, 2, 29, 58, 841, 1682, 24389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48768 and 48778. The biggest common factor number is the GCF number.
So the greatest common factor 48768 and 48778 is 2.

Also check out the Least Common Multiple of 48768 and 48778