What is the Greatest Common Factor of 60768 and 60782?

Greatest common factor (GCF) of 60768 and 60782 is 2.

GCF(60768,60782) = 2

We will now calculate the prime factors of 60768 and 60782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60768 and 60782.

How to find the GCF of 60768 and 60782?

We will first find the prime factorization of 60768 and 60782. After we will calculate the factors of 60768 and 60782 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 60782

Prime factors of 60782 are 2, 30391. Prime factorization of 60782 in exponential form is:

60782 = 2¹ × 30391¹

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 60782

List of positive integer factors of 60782 that divides 60768 without a remainder.

1, 2, 30391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60768 and 60782. The biggest common factor number is the GCF number.
So the greatest common factor 60768 and 60782 is 2.

Also check out the Least Common Multiple of 60768 and 60782