What is the Greatest Common Factor of 10530 and 10542?

Greatest common factor (GCF) of 10530 and 10542 is 6.

GCF(10530,10542) = 6

We will now calculate the prime factors of 10530 and 10542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10530 and 10542.

How to find the GCF of 10530 and 10542?

We will first find the prime factorization of 10530 and 10542. After we will calculate the factors of 10530 and 10542 and find the biggest common factor number .

Step-1: Prime Factorization of 10530

Prime factors of 10530 are 2, 3, 5, 13. Prime factorization of 10530 in exponential form is:

10530 = 2¹ × 3⁴ × 5¹ × 13¹

Step-2: Prime Factorization of 10542

Prime factors of 10542 are 2, 3, 7, 251. Prime factorization of 10542 in exponential form is:

10542 = 2¹ × 3¹ × 7¹ × 251¹

Step-3: Factors of 10530

List of positive integer factors of 10530 that divides 10530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 81, 90, 117, 130, 135, 162, 195, 234, 270, 351, 390, 405, 585, 702, 810, 1053, 1170, 1755, 2106, 3510, 5265

Step-4: Factors of 10542

List of positive integer factors of 10542 that divides 10530 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 251, 502, 753, 1506, 1757, 3514, 5271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10530 and 10542. The biggest common factor number is the GCF number.
So the greatest common factor 10530 and 10542 is 6.

Also check out the Least Common Multiple of 10530 and 10542