What is the Greatest Common Factor of 10550 and 10565?

Greatest common factor (GCF) of 10550 and 10565 is 5.

GCF(10550,10565) = 5

We will now calculate the prime factors of 10550 and 10565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10550 and 10565.

How to find the GCF of 10550 and 10565?

We will first find the prime factorization of 10550 and 10565. After we will calculate the factors of 10550 and 10565 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10565

Prime factors of 10565 are 5, 2113. Prime factorization of 10565 in exponential form is:

10565 = 5¹ × 2113¹

Step-3: Factors of 10550

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

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

Step-4: Factors of 10565

List of positive integer factors of 10565 that divides 10550 without a remainder.

1, 5, 2113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10550 and 10565. The biggest common factor number is the GCF number.
So the greatest common factor 10550 and 10565 is 5.

Also check out the Least Common Multiple of 10550 and 10565