What is the Greatest Common Factor of 11050 and 11063?

Greatest common factor (GCF) of 11050 and 11063 is 13.

GCF(11050,11063) = 13

We will now calculate the prime factors of 11050 and 11063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11050 and 11063.

How to find the GCF of 11050 and 11063?

We will first find the prime factorization of 11050 and 11063. After we will calculate the factors of 11050 and 11063 and find the biggest common factor number .

Step-1: Prime Factorization of 11050

Prime factors of 11050 are 2, 5, 13, 17. Prime factorization of 11050 in exponential form is:

11050 = 2¹ × 5² × 13¹ × 17¹

Step-2: Prime Factorization of 11063

Prime factors of 11063 are 13, 23, 37. Prime factorization of 11063 in exponential form is:

11063 = 13¹ × 23¹ × 37¹

Step-3: Factors of 11050

List of positive integer factors of 11050 that divides 11050 without a remainder.

1, 2, 5, 10, 13, 17, 25, 26, 34, 50, 65, 85, 130, 170, 221, 325, 425, 442, 650, 850, 1105, 2210, 5525

Step-4: Factors of 11063

List of positive integer factors of 11063 that divides 11050 without a remainder.

1, 13, 23, 37, 299, 481, 851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11050 and 11063. The biggest common factor number is the GCF number.
So the greatest common factor 11050 and 11063 is 13.

Also check out the Least Common Multiple of 11050 and 11063