What is the Greatest Common Factor of 11033 and 11050?

Greatest common factor (GCF) of 11033 and 11050 is 17.

GCF(11033,11050) = 17

We will now calculate the prime factors of 11033 and 11050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11033 and 11050.

How to find the GCF of 11033 and 11050?

We will first find the prime factorization of 11033 and 11050. After we will calculate the factors of 11033 and 11050 and find the biggest common factor number .

Step-1: Prime Factorization of 11033

Prime factors of 11033 are 11, 17, 59. Prime factorization of 11033 in exponential form is:

11033 = 11¹ × 17¹ × 59¹

Step-2: 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-3: Factors of 11033

List of positive integer factors of 11033 that divides 11033 without a remainder.

1, 11, 17, 59, 187, 649, 1003

Step-4: Factors of 11050

List of positive integer factors of 11050 that divides 11033 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11033 and 11050. The biggest common factor number is the GCF number.
So the greatest common factor 11033 and 11050 is 17.

Also check out the Least Common Multiple of 11033 and 11050