What is the Greatest Common Factor of 32130 and 32142?

Greatest common factor (GCF) of 32130 and 32142 is 6.

GCF(32130,32142) = 6

We will now calculate the prime factors of 32130 and 32142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32130 and 32142.

How to find the GCF of 32130 and 32142?

We will first find the prime factorization of 32130 and 32142. After we will calculate the factors of 32130 and 32142 and find the biggest common factor number .

Step-1: Prime Factorization of 32130

Prime factors of 32130 are 2, 3, 5, 7, 17. Prime factorization of 32130 in exponential form is:

32130 = 2¹ × 3³ × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 32142

Prime factors of 32142 are 2, 3, 11, 487. Prime factorization of 32142 in exponential form is:

32142 = 2¹ × 3¹ × 11¹ × 487¹

Step-3: Factors of 32130

List of positive integer factors of 32130 that divides 32130 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 17, 18, 21, 27, 30, 34, 35, 42, 45, 51, 54, 63, 70, 85, 90, 102, 105, 119, 126, 135, 153, 170, 189, 210, 238, 255, 270, 306, 315, 357, 378, 459, 510, 595, 630, 714, 765, 918, 945, 1071, 1190, 1530, 1785, 1890, 2142, 2295, 3213, 3570, 4590, 5355, 6426, 10710, 16065

Step-4: Factors of 32142

List of positive integer factors of 32142 that divides 32130 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 487, 974, 1461, 2922, 5357, 10714, 16071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32130 and 32142. The biggest common factor number is the GCF number.
So the greatest common factor 32130 and 32142 is 6.

Also check out the Least Common Multiple of 32130 and 32142