What is the Greatest Common Factor of 30132 and 30142?

Greatest common factor (GCF) of 30132 and 30142 is 2.

GCF(30132,30142) = 2

We will now calculate the prime factors of 30132 and 30142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30132 and 30142.

How to find the GCF of 30132 and 30142?

We will first find the prime factorization of 30132 and 30142. After we will calculate the factors of 30132 and 30142 and find the biggest common factor number .

Step-1: Prime Factorization of 30132

Prime factors of 30132 are 2, 3, 31. Prime factorization of 30132 in exponential form is:

30132 = 2² × 3⁵ × 31¹

Step-2: 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-3: Factors of 30132

List of positive integer factors of 30132 that divides 30132 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108, 124, 162, 186, 243, 279, 324, 372, 486, 558, 837, 972, 1116, 1674, 2511, 3348, 5022, 7533, 10044, 15066

Step-4: Factors of 30142

List of positive integer factors of 30142 that divides 30132 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30132 and 30142. The biggest common factor number is the GCF number.
So the greatest common factor 30132 and 30142 is 2.

Also check out the Least Common Multiple of 30132 and 30142