What is the Greatest Common Factor of 30034 and 30038?

Greatest common factor (GCF) of 30034 and 30038 is 2.

GCF(30034,30038) = 2

We will now calculate the prime factors of 30034 and 30038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30034 and 30038.

How to find the GCF of 30034 and 30038?

We will first find the prime factorization of 30034 and 30038. After we will calculate the factors of 30034 and 30038 and find the biggest common factor number .

Step-1: Prime Factorization of 30034

Prime factors of 30034 are 2, 15017. Prime factorization of 30034 in exponential form is:

30034 = 2¹ × 15017¹

Step-2: Prime Factorization of 30038

Prime factors of 30038 are 2, 23, 653. Prime factorization of 30038 in exponential form is:

30038 = 2¹ × 23¹ × 653¹

Step-3: Factors of 30034

List of positive integer factors of 30034 that divides 30034 without a remainder.

1, 2, 15017

Step-4: Factors of 30038

List of positive integer factors of 30038 that divides 30034 without a remainder.

1, 2, 23, 46, 653, 1306, 15019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30034 and 30038. The biggest common factor number is the GCF number.
So the greatest common factor 30034 and 30038 is 2.

Also check out the Least Common Multiple of 30034 and 30038