What is the Greatest Common Factor of 60849 and 60864?

Greatest common factor (GCF) of 60849 and 60864 is 3.

GCF(60849,60864) = 3

We will now calculate the prime factors of 60849 and 60864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60849 and 60864.

How to find the GCF of 60849 and 60864?

We will first find the prime factorization of 60849 and 60864. After we will calculate the factors of 60849 and 60864 and find the biggest common factor number .

Step-1: Prime Factorization of 60849

Prime factors of 60849 are 3, 6761. Prime factorization of 60849 in exponential form is:

60849 = 3² × 6761¹

Step-2: Prime Factorization of 60864

Prime factors of 60864 are 2, 3, 317. Prime factorization of 60864 in exponential form is:

60864 = 2⁶ × 3¹ × 317¹

Step-3: Factors of 60849

List of positive integer factors of 60849 that divides 60849 without a remainder.

1, 3, 9, 6761, 20283

Step-4: Factors of 60864

List of positive integer factors of 60864 that divides 60849 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 10144, 15216, 20288, 30432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60849 and 60864. The biggest common factor number is the GCF number.
So the greatest common factor 60849 and 60864 is 3.

Also check out the Least Common Multiple of 60849 and 60864