What is the Greatest Common Factor of 30138 and 30156?

Greatest common factor (GCF) of 30138 and 30156 is 6.

GCF(30138,30156) = 6

We will now calculate the prime factors of 30138 and 30156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30138 and 30156.

How to find the GCF of 30138 and 30156?

We will first find the prime factorization of 30138 and 30156. After we will calculate the factors of 30138 and 30156 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30156

Prime factors of 30156 are 2, 3, 7, 359. Prime factorization of 30156 in exponential form is:

30156 = 2² × 3¹ × 7¹ × 359¹

Step-3: Factors of 30138

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

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

Step-4: Factors of 30156

List of positive integer factors of 30156 that divides 30138 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 359, 718, 1077, 1436, 2154, 2513, 4308, 5026, 7539, 10052, 15078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30138 and 30156. The biggest common factor number is the GCF number.
So the greatest common factor 30138 and 30156 is 6.

Also check out the Least Common Multiple of 30138 and 30156