What is the Greatest Common Factor of 60768 and 60784?

Greatest common factor (GCF) of 60768 and 60784 is 16.

GCF(60768,60784) = 16

We will now calculate the prime factors of 60768 and 60784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60768 and 60784.

How to find the GCF of 60768 and 60784?

We will first find the prime factorization of 60768 and 60784. After we will calculate the factors of 60768 and 60784 and find the biggest common factor number .

Step-1: Prime Factorization of 60768

Prime factors of 60768 are 2, 3, 211. Prime factorization of 60768 in exponential form is:

60768 = 2⁵ × 3² × 211¹

Step-2: Prime Factorization of 60784

Prime factors of 60784 are 2, 29, 131. Prime factorization of 60784 in exponential form is:

60784 = 2⁴ × 29¹ × 131¹

Step-3: Factors of 60768

List of positive integer factors of 60768 that divides 60768 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 211, 288, 422, 633, 844, 1266, 1688, 1899, 2532, 3376, 3798, 5064, 6752, 7596, 10128, 15192, 20256, 30384

Step-4: Factors of 60784

List of positive integer factors of 60784 that divides 60768 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 131, 232, 262, 464, 524, 1048, 2096, 3799, 7598, 15196, 30392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60768 and 60784. The biggest common factor number is the GCF number.
So the greatest common factor 60768 and 60784 is 16.

Also check out the Least Common Multiple of 60768 and 60784