What is the Greatest Common Factor of 30156 and 30171?

Greatest common factor (GCF) of 30156 and 30171 is 3.

GCF(30156,30171) = 3

We will now calculate the prime factors of 30156 and 30171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30156 and 30171.

How to find the GCF of 30156 and 30171?

We will first find the prime factorization of 30156 and 30171. After we will calculate the factors of 30156 and 30171 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30171

Prime factors of 30171 are 3, 89, 113. Prime factorization of 30171 in exponential form is:

30171 = 3¹ × 89¹ × 113¹

Step-3: Factors of 30156

List of positive integer factors of 30156 that divides 30156 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

Step-4: Factors of 30171

List of positive integer factors of 30171 that divides 30156 without a remainder.

1, 3, 89, 113, 267, 339, 10057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30156 and 30171. The biggest common factor number is the GCF number.
So the greatest common factor 30156 and 30171 is 3.

Also check out the Least Common Multiple of 30156 and 30171