What is the Greatest Common Factor of 30126 and 30134?

Greatest common factor (GCF) of 30126 and 30134 is 2.

GCF(30126,30134) = 2

We will now calculate the prime factors of 30126 and 30134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30126 and 30134.

How to find the GCF of 30126 and 30134?

We will first find the prime factorization of 30126 and 30134. After we will calculate the factors of 30126 and 30134 and find the biggest common factor number .

Step-1: Prime Factorization of 30126

Prime factors of 30126 are 2, 3, 5021. Prime factorization of 30126 in exponential form is:

30126 = 2¹ × 3¹ × 5021¹

Step-2: Prime Factorization of 30134

Prime factors of 30134 are 2, 13, 19, 61. Prime factorization of 30134 in exponential form is:

30134 = 2¹ × 13¹ × 19¹ × 61¹

Step-3: Factors of 30126

List of positive integer factors of 30126 that divides 30126 without a remainder.

1, 2, 3, 6, 5021, 10042, 15063

Step-4: Factors of 30134

List of positive integer factors of 30134 that divides 30126 without a remainder.

1, 2, 13, 19, 26, 38, 61, 122, 247, 494, 793, 1159, 1586, 2318, 15067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30126 and 30134. The biggest common factor number is the GCF number.
So the greatest common factor 30126 and 30134 is 2.

Also check out the Least Common Multiple of 30126 and 30134