What is the Greatest Common Factor of 32121 and 32130?

Greatest common factor (GCF) of 32121 and 32130 is 9.

GCF(32121,32130) = 9

We will now calculate the prime factors of 32121 and 32130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32121 and 32130.

How to find the GCF of 32121 and 32130?

We will first find the prime factorization of 32121 and 32130. After we will calculate the factors of 32121 and 32130 and find the biggest common factor number .

Step-1: Prime Factorization of 32121

Prime factors of 32121 are 3, 43, 83. Prime factorization of 32121 in exponential form is:

32121 = 3² × 43¹ × 83¹

Step-2: 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-3: Factors of 32121

List of positive integer factors of 32121 that divides 32121 without a remainder.

1, 3, 9, 43, 83, 129, 249, 387, 747, 3569, 10707

Step-4: Factors of 32130

List of positive integer factors of 32130 that divides 32121 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32121 and 32130. The biggest common factor number is the GCF number.
So the greatest common factor 32121 and 32130 is 9.

Also check out the Least Common Multiple of 32121 and 32130