What is the Greatest Common Factor of 48768 and 48780?

Greatest common factor (GCF) of 48768 and 48780 is 12.

GCF(48768,48780) = 12

We will now calculate the prime factors of 48768 and 48780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48768 and 48780.

How to find the GCF of 48768 and 48780?

We will first find the prime factorization of 48768 and 48780. After we will calculate the factors of 48768 and 48780 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 48780

Prime factors of 48780 are 2, 3, 5, 271. Prime factorization of 48780 in exponential form is:

48780 = 2² × 3² × 5¹ × 271¹

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 48780

List of positive integer factors of 48780 that divides 48768 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 271, 542, 813, 1084, 1355, 1626, 2439, 2710, 3252, 4065, 4878, 5420, 8130, 9756, 12195, 16260, 24390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48768 and 48780. The biggest common factor number is the GCF number.
So the greatest common factor 48768 and 48780 is 12.

Also check out the Least Common Multiple of 48768 and 48780