What is the Greatest Common Factor of 30112 and 30130?

Greatest common factor (GCF) of 30112 and 30130 is 2.

GCF(30112,30130) = 2

We will now calculate the prime factors of 30112 and 30130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30112 and 30130.

How to find the GCF of 30112 and 30130?

We will first find the prime factorization of 30112 and 30130. After we will calculate the factors of 30112 and 30130 and find the biggest common factor number .

Step-1: Prime Factorization of 30112

Prime factors of 30112 are 2, 941. Prime factorization of 30112 in exponential form is:

30112 = 2⁵ × 941¹

Step-2: Prime Factorization of 30130

Prime factors of 30130 are 2, 5, 23, 131. Prime factorization of 30130 in exponential form is:

30130 = 2¹ × 5¹ × 23¹ × 131¹

Step-3: Factors of 30112

List of positive integer factors of 30112 that divides 30112 without a remainder.

1, 2, 4, 8, 16, 32, 941, 1882, 3764, 7528, 15056

Step-4: Factors of 30130

List of positive integer factors of 30130 that divides 30112 without a remainder.

1, 2, 5, 10, 23, 46, 115, 131, 230, 262, 655, 1310, 3013, 6026, 15065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30112 and 30130. The biggest common factor number is the GCF number.
So the greatest common factor 30112 and 30130 is 2.

Also check out the Least Common Multiple of 30112 and 30130