What is the Greatest Common Factor of 60768 and 60780?

Greatest common factor (GCF) of 60768 and 60780 is 12.

GCF(60768,60780) = 12

We will now calculate the prime factors of 60768 and 60780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60768 and 60780.

How to find the GCF of 60768 and 60780?

We will first find the prime factorization of 60768 and 60780. After we will calculate the factors of 60768 and 60780 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 60780

Prime factors of 60780 are 2, 3, 5, 1013. Prime factorization of 60780 in exponential form is:

60780 = 2² × 3¹ × 5¹ × 1013¹

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 60780

List of positive integer factors of 60780 that divides 60768 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1013, 2026, 3039, 4052, 5065, 6078, 10130, 12156, 15195, 20260, 30390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60768 and 60780. The biggest common factor number is the GCF number.
So the greatest common factor 60768 and 60780 is 12.

Also check out the Least Common Multiple of 60768 and 60780