What is the Greatest Common Factor of 10290 and 10296?

Greatest common factor (GCF) of 10290 and 10296 is 6.

GCF(10290,10296) = 6

We will now calculate the prime factors of 10290 and 10296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10290 and 10296.

How to find the GCF of 10290 and 10296?

We will first find the prime factorization of 10290 and 10296. After we will calculate the factors of 10290 and 10296 and find the biggest common factor number .

Step-1: Prime Factorization of 10290

Prime factors of 10290 are 2, 3, 5, 7. Prime factorization of 10290 in exponential form is:

10290 = 2¹ × 3¹ × 5¹ × 7³

Step-2: Prime Factorization of 10296

Prime factors of 10296 are 2, 3, 11, 13. Prime factorization of 10296 in exponential form is:

10296 = 2³ × 3² × 11¹ × 13¹

Step-3: Factors of 10290

List of positive integer factors of 10290 that divides 10290 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 343, 490, 686, 735, 1029, 1470, 1715, 2058, 3430, 5145

Step-4: Factors of 10296

List of positive integer factors of 10296 that divides 10290 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 13, 18, 22, 24, 26, 33, 36, 39, 44, 52, 66, 72, 78, 88, 99, 104, 117, 132, 143, 156, 198, 234, 264, 286, 312, 396, 429, 468, 572, 792, 858, 936, 1144, 1287, 1716, 2574, 3432, 5148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10290 and 10296. The biggest common factor number is the GCF number.
So the greatest common factor 10290 and 10296 is 6.

Also check out the Least Common Multiple of 10290 and 10296