What is the Greatest Common Factor of 10542 and 10560?

Greatest common factor (GCF) of 10542 and 10560 is 6.

GCF(10542,10560) = 6

We will now calculate the prime factors of 10542 and 10560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10542 and 10560.

How to find the GCF of 10542 and 10560?

We will first find the prime factorization of 10542 and 10560. After we will calculate the factors of 10542 and 10560 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10560

Prime factors of 10560 are 2, 3, 5, 11. Prime factorization of 10560 in exponential form is:

10560 = 2⁶ × 3¹ × 5¹ × 11¹

Step-3: Factors of 10542

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

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

Step-4: Factors of 10560

List of positive integer factors of 10560 that divides 10542 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 64, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 192, 220, 240, 264, 320, 330, 352, 440, 480, 528, 660, 704, 880, 960, 1056, 1320, 1760, 2112, 2640, 3520, 5280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10542 and 10560. The biggest common factor number is the GCF number.
So the greatest common factor 10542 and 10560 is 6.

Also check out the Least Common Multiple of 10542 and 10560