What is the Greatest Common Factor of 10540 and 10560?

Greatest common factor (GCF) of 10540 and 10560 is 20.

GCF(10540,10560) = 20

We will now calculate the prime factors of 10540 and 10560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10540 and 10560.

How to find the GCF of 10540 and 10560?

We will first find the prime factorization of 10540 and 10560. After we will calculate the factors of 10540 and 10560 and find the biggest common factor number .

Step-1: Prime Factorization of 10540

Prime factors of 10540 are 2, 5, 17, 31. Prime factorization of 10540 in exponential form is:

10540 = 2² × 5¹ × 17¹ × 31¹

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 10540

List of positive integer factors of 10540 that divides 10540 without a remainder.

1, 2, 4, 5, 10, 17, 20, 31, 34, 62, 68, 85, 124, 155, 170, 310, 340, 527, 620, 1054, 2108, 2635, 5270

Step-4: Factors of 10560

List of positive integer factors of 10560 that divides 10540 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 10540 and 10560. The biggest common factor number is the GCF number.
So the greatest common factor 10540 and 10560 is 20.

Also check out the Least Common Multiple of 10540 and 10560