What is the Greatest Common Factor of 30660 and 30665?

Greatest common factor (GCF) of 30660 and 30665 is 5.

GCF(30660,30665) = 5

We will now calculate the prime factors of 30660 and 30665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30660 and 30665.

How to find the GCF of 30660 and 30665?

We will first find the prime factorization of 30660 and 30665. After we will calculate the factors of 30660 and 30665 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 30665

Prime factors of 30665 are 5, 6133. Prime factorization of 30665 in exponential form is:

30665 = 5¹ × 6133¹

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 30665

List of positive integer factors of 30665 that divides 30660 without a remainder.

1, 5, 6133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30660 and 30665. The biggest common factor number is the GCF number.
So the greatest common factor 30660 and 30665 is 5.

Also check out the Least Common Multiple of 30660 and 30665