What is the Greatest Common Factor of 30105 and 30124?

Greatest common factor (GCF) of 30105 and 30124 is 1.

GCF(30105,30124) = 1

We will now calculate the prime factors of 30105 and 30124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30105 and 30124.

How to find the GCF of 30105 and 30124?

We will first find the prime factorization of 30105 and 30124. After we will calculate the factors of 30105 and 30124 and find the biggest common factor number .

Step-1: Prime Factorization of 30105

Prime factors of 30105 are 3, 5, 223. Prime factorization of 30105 in exponential form is:

30105 = 3³ × 5¹ × 223¹

Step-2: Prime Factorization of 30124

Prime factors of 30124 are 2, 17, 443. Prime factorization of 30124 in exponential form is:

30124 = 2² × 17¹ × 443¹

Step-3: Factors of 30105

List of positive integer factors of 30105 that divides 30105 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 223, 669, 1115, 2007, 3345, 6021, 10035

Step-4: Factors of 30124

List of positive integer factors of 30124 that divides 30105 without a remainder.

1, 2, 4, 17, 34, 68, 443, 886, 1772, 7531, 15062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30105 and 30124. The biggest common factor number is the GCF number.
So the greatest common factor 30105 and 30124 is 1.

Also check out the Least Common Multiple of 30105 and 30124