What is the Greatest Common Factor of 60678 and 60690?

Greatest common factor (GCF) of 60678 and 60690 is 6.

GCF(60678,60690) = 6

We will now calculate the prime factors of 60678 and 60690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60678 and 60690.

How to find the GCF of 60678 and 60690?

We will first find the prime factorization of 60678 and 60690. After we will calculate the factors of 60678 and 60690 and find the biggest common factor number .

Step-1: Prime Factorization of 60678

Prime factors of 60678 are 2, 3, 3371. Prime factorization of 60678 in exponential form is:

60678 = 2¹ × 3² × 3371¹

Step-2: Prime Factorization of 60690

Prime factors of 60690 are 2, 3, 5, 7, 17. Prime factorization of 60690 in exponential form is:

60690 = 2¹ × 3¹ × 5¹ × 7¹ × 17²

Step-3: Factors of 60678

List of positive integer factors of 60678 that divides 60678 without a remainder.

1, 2, 3, 6, 9, 18, 3371, 6742, 10113, 20226, 30339

Step-4: Factors of 60690

List of positive integer factors of 60690 that divides 60678 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 289, 357, 510, 578, 595, 714, 867, 1190, 1445, 1734, 1785, 2023, 2890, 3570, 4046, 4335, 6069, 8670, 10115, 12138, 20230, 30345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60678 and 60690. The biggest common factor number is the GCF number.
So the greatest common factor 60678 and 60690 is 6.

Also check out the Least Common Multiple of 60678 and 60690