What is the Greatest Common Factor of 60690 and 60708?

Greatest common factor (GCF) of 60690 and 60708 is 6.

GCF(60690,60708) = 6

We will now calculate the prime factors of 60690 and 60708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60690 and 60708.

How to find the GCF of 60690 and 60708?

We will first find the prime factorization of 60690 and 60708. After we will calculate the factors of 60690 and 60708 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60708

Prime factors of 60708 are 2, 3, 5059. Prime factorization of 60708 in exponential form is:

60708 = 2² × 3¹ × 5059¹

Step-3: Factors of 60690

List of positive integer factors of 60690 that divides 60690 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

Step-4: Factors of 60708

List of positive integer factors of 60708 that divides 60690 without a remainder.

1, 2, 3, 4, 6, 12, 5059, 10118, 15177, 20236, 30354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60690 and 60708. The biggest common factor number is the GCF number.
So the greatest common factor 60690 and 60708 is 6.

Also check out the Least Common Multiple of 60690 and 60708