What is the Greatest Common Factor of 32124 and 32130?

Greatest common factor (GCF) of 32124 and 32130 is 6.

GCF(32124,32130) = 6

We will now calculate the prime factors of 32124 and 32130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32124 and 32130.

How to find the GCF of 32124 and 32130?

We will first find the prime factorization of 32124 and 32130. After we will calculate the factors of 32124 and 32130 and find the biggest common factor number .

Step-1: Prime Factorization of 32124

Prime factors of 32124 are 2, 3, 2677. Prime factorization of 32124 in exponential form is:

32124 = 2² × 3¹ × 2677¹

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 32124

List of positive integer factors of 32124 that divides 32124 without a remainder.

1, 2, 3, 4, 6, 12, 2677, 5354, 8031, 10708, 16062

Step-4: Factors of 32130

List of positive integer factors of 32130 that divides 32124 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 32124 and 32130. The biggest common factor number is the GCF number.
So the greatest common factor 32124 and 32130 is 6.

Also check out the Least Common Multiple of 32124 and 32130