What is the Greatest Common Factor of 30142 and 30156?

Greatest common factor (GCF) of 30142 and 30156 is 14.

GCF(30142,30156) = 14

We will now calculate the prime factors of 30142 and 30156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30142 and 30156.

How to find the GCF of 30142 and 30156?

We will first find the prime factorization of 30142 and 30156. After we will calculate the factors of 30142 and 30156 and find the biggest common factor number .

Step-1: Prime Factorization of 30142

Prime factors of 30142 are 2, 7, 2153. Prime factorization of 30142 in exponential form is:

30142 = 2¹ × 7¹ × 2153¹

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 30142

List of positive integer factors of 30142 that divides 30142 without a remainder.

1, 2, 7, 14, 2153, 4306, 15071

Step-4: Factors of 30156

List of positive integer factors of 30156 that divides 30142 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 30142 and 30156. The biggest common factor number is the GCF number.
So the greatest common factor 30142 and 30156 is 14.

Also check out the Least Common Multiple of 30142 and 30156