What is the Greatest Common Factor of 10710 and 10730?

Greatest common factor (GCF) of 10710 and 10730 is 10.

GCF(10710,10730) = 10

We will now calculate the prime factors of 10710 and 10730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10710 and 10730.

How to find the GCF of 10710 and 10730?

We will first find the prime factorization of 10710 and 10730. After we will calculate the factors of 10710 and 10730 and find the biggest common factor number .

Step-1: Prime Factorization of 10710

Prime factors of 10710 are 2, 3, 5, 7, 17. Prime factorization of 10710 in exponential form is:

10710 = 2¹ × 3² × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 10730

Prime factors of 10730 are 2, 5, 29, 37. Prime factorization of 10730 in exponential form is:

10730 = 2¹ × 5¹ × 29¹ × 37¹

Step-3: Factors of 10710

List of positive integer factors of 10710 that divides 10710 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 17, 18, 21, 30, 34, 35, 42, 45, 51, 63, 70, 85, 90, 102, 105, 119, 126, 153, 170, 210, 238, 255, 306, 315, 357, 510, 595, 630, 714, 765, 1071, 1190, 1530, 1785, 2142, 3570, 5355

Step-4: Factors of 10730

List of positive integer factors of 10730 that divides 10710 without a remainder.

1, 2, 5, 10, 29, 37, 58, 74, 145, 185, 290, 370, 1073, 2146, 5365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10710 and 10730. The biggest common factor number is the GCF number.
So the greatest common factor 10710 and 10730 is 10.

Also check out the Least Common Multiple of 10710 and 10730