What is the Greatest Common Factor of 10080 and 10098?

Greatest common factor (GCF) of 10080 and 10098 is 18.

GCF(10080,10098) = 18

We will now calculate the prime factors of 10080 and 10098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10080 and 10098.

How to find the GCF of 10080 and 10098?

We will first find the prime factorization of 10080 and 10098. After we will calculate the factors of 10080 and 10098 and find the biggest common factor number .

Step-1: Prime Factorization of 10080

Prime factors of 10080 are 2, 3, 5, 7. Prime factorization of 10080 in exponential form is:

10080 = 2⁵ × 3² × 5¹ × 7¹

Step-2: Prime Factorization of 10098

Prime factors of 10098 are 2, 3, 11, 17. Prime factorization of 10098 in exponential form is:

10098 = 2¹ × 3³ × 11¹ × 17¹

Step-3: Factors of 10080

List of positive integer factors of 10080 that divides 10080 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040

Step-4: Factors of 10098

List of positive integer factors of 10098 that divides 10080 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 27, 33, 34, 51, 54, 66, 99, 102, 153, 187, 198, 297, 306, 374, 459, 561, 594, 918, 1122, 1683, 3366, 5049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10080 and 10098. The biggest common factor number is the GCF number.
So the greatest common factor 10080 and 10098 is 18.

Also check out the Least Common Multiple of 10080 and 10098