What is the Greatest Common Factor of 32120 and 32130?

Greatest common factor (GCF) of 32120 and 32130 is 10.

GCF(32120,32130) = 10

We will now calculate the prime factors of 32120 and 32130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32120 and 32130.

How to find the GCF of 32120 and 32130?

We will first find the prime factorization of 32120 and 32130. After we will calculate the factors of 32120 and 32130 and find the biggest common factor number .

Step-1: Prime Factorization of 32120

Prime factors of 32120 are 2, 5, 11, 73. Prime factorization of 32120 in exponential form is:

32120 = 2³ × 5¹ × 11¹ × 73¹

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 32120

List of positive integer factors of 32120 that divides 32120 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 73, 88, 110, 146, 220, 292, 365, 440, 584, 730, 803, 1460, 1606, 2920, 3212, 4015, 6424, 8030, 16060

Step-4: Factors of 32130

List of positive integer factors of 32130 that divides 32120 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 32120 and 32130. The biggest common factor number is the GCF number.
So the greatest common factor 32120 and 32130 is 10.

Also check out the Least Common Multiple of 32120 and 32130