What is the Greatest Common Factor of 30660 and 30666?

Greatest common factor (GCF) of 30660 and 30666 is 6.

GCF(30660,30666) = 6

We will now calculate the prime factors of 30660 and 30666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30660 and 30666.

How to find the GCF of 30660 and 30666?

We will first find the prime factorization of 30660 and 30666. After we will calculate the factors of 30660 and 30666 and find the biggest common factor number .

Step-1: Prime Factorization of 30660

Prime factors of 30660 are 2, 3, 5, 7, 73. Prime factorization of 30660 in exponential form is:

30660 = 2² × 3¹ × 5¹ × 7¹ × 73¹

Step-2: Prime Factorization of 30666

Prime factors of 30666 are 2, 3, 19, 269. Prime factorization of 30666 in exponential form is:

30666 = 2¹ × 3¹ × 19¹ × 269¹

Step-3: Factors of 30660

List of positive integer factors of 30660 that divides 30660 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 73, 84, 105, 140, 146, 210, 219, 292, 365, 420, 438, 511, 730, 876, 1022, 1095, 1460, 1533, 2044, 2190, 2555, 3066, 4380, 5110, 6132, 7665, 10220, 15330

Step-4: Factors of 30666

List of positive integer factors of 30666 that divides 30660 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 269, 538, 807, 1614, 5111, 10222, 15333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30660 and 30666. The biggest common factor number is the GCF number.
So the greatest common factor 30660 and 30666 is 6.

Also check out the Least Common Multiple of 30660 and 30666