What is the Greatest Common Factor of 30140 and 30154?

Greatest common factor (GCF) of 30140 and 30154 is 2.

GCF(30140,30154) = 2

We will now calculate the prime factors of 30140 and 30154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30140 and 30154.

How to find the GCF of 30140 and 30154?

We will first find the prime factorization of 30140 and 30154. After we will calculate the factors of 30140 and 30154 and find the biggest common factor number .

Step-1: Prime Factorization of 30140

Prime factors of 30140 are 2, 5, 11, 137. Prime factorization of 30140 in exponential form is:

30140 = 2² × 5¹ × 11¹ × 137¹

Step-2: Prime Factorization of 30154

Prime factors of 30154 are 2, 15077. Prime factorization of 30154 in exponential form is:

30154 = 2¹ × 15077¹

Step-3: Factors of 30140

List of positive integer factors of 30140 that divides 30140 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 137, 220, 274, 548, 685, 1370, 1507, 2740, 3014, 6028, 7535, 15070

Step-4: Factors of 30154

List of positive integer factors of 30154 that divides 30140 without a remainder.

1, 2, 15077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30140 and 30154. The biggest common factor number is the GCF number.
So the greatest common factor 30140 and 30154 is 2.

Also check out the Least Common Multiple of 30140 and 30154