What is the Greatest Common Factor of 10540 and 10550?

Greatest common factor (GCF) of 10540 and 10550 is 10.

GCF(10540,10550) = 10

We will now calculate the prime factors of 10540 and 10550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10540 and 10550.

How to find the GCF of 10540 and 10550?

We will first find the prime factorization of 10540 and 10550. After we will calculate the factors of 10540 and 10550 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 10550

Prime factors of 10550 are 2, 5, 211. Prime factorization of 10550 in exponential form is:

10550 = 2¹ × 5² × 211¹

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 10550

List of positive integer factors of 10550 that divides 10540 without a remainder.

1, 2, 5, 10, 25, 50, 211, 422, 1055, 2110, 5275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10540 and 10550. The biggest common factor number is the GCF number.
So the greatest common factor 10540 and 10550 is 10.

Also check out the Least Common Multiple of 10540 and 10550