What is the Greatest Common Factor of 30134 and 30138?

Greatest common factor (GCF) of 30134 and 30138 is 2.

GCF(30134,30138) = 2

We will now calculate the prime factors of 30134 and 30138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30134 and 30138.

How to find the GCF of 30134 and 30138?

We will first find the prime factorization of 30134 and 30138. After we will calculate the factors of 30134 and 30138 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30138

Prime factors of 30138 are 2, 3, 5023. Prime factorization of 30138 in exponential form is:

30138 = 2¹ × 3¹ × 5023¹

Step-3: Factors of 30134

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

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

Step-4: Factors of 30138

List of positive integer factors of 30138 that divides 30134 without a remainder.

1, 2, 3, 6, 5023, 10046, 15069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30134 and 30138. The biggest common factor number is the GCF number.
So the greatest common factor 30134 and 30138 is 2.

Also check out the Least Common Multiple of 30134 and 30138