What is the Greatest Common Factor of 32130 and 32141?

Greatest common factor (GCF) of 32130 and 32141 is 1.

GCF(32130,32141) = 1

We will now calculate the prime factors of 32130 and 32141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32130 and 32141.

How to find the GCF of 32130 and 32141?

We will first find the prime factorization of 32130 and 32141. After we will calculate the factors of 32130 and 32141 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 32141

Prime factors of 32141 are 32141. Prime factorization of 32141 in exponential form is:

32141 = 32141¹

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 32141

List of positive integer factors of 32141 that divides 32130 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32130 and 32141. The biggest common factor number is the GCF number.
So the greatest common factor 32130 and 32141 is 1.

Also check out the Least Common Multiple of 32130 and 32141