What is the Greatest Common Factor of 60768 and 60786?

Greatest common factor (GCF) of 60768 and 60786 is 18.

GCF(60768,60786) = 18

We will now calculate the prime factors of 60768 and 60786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60768 and 60786.

How to find the GCF of 60768 and 60786?

We will first find the prime factorization of 60768 and 60786. After we will calculate the factors of 60768 and 60786 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 60786

Prime factors of 60786 are 2, 3, 11, 307. Prime factorization of 60786 in exponential form is:

60786 = 2¹ × 3² × 11¹ × 307¹

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 60786

List of positive integer factors of 60786 that divides 60768 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 307, 614, 921, 1842, 2763, 3377, 5526, 6754, 10131, 20262, 30393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60768 and 60786. The biggest common factor number is the GCF number.
So the greatest common factor 60768 and 60786 is 18.

Also check out the Least Common Multiple of 60768 and 60786