Greatest Common Factor of 11054 and 11059

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 11054 and 11059 by prime factorization method
• Greatest Common Factor of 11054 and 11059 by matching factors method

Prime Factorization of 11054

Prime factors of 11054 are 2,5527. Prime factorization of 11054 in exponential form is:

11054 = 2¹×5527¹

Prime Factorization of 11059

Prime factors of 11059 are 11059. Prime factorization of 11059 in exponential form is:

11059 = 11059¹

∴ So by taking common prime factors GCF of 11054 and 11059 is 1

Factors of 11054

List of positive integer factors of 11054 that divides 11054 without a remainder.

1,2,5527,11054

Factors of 11059

List of positive integer factors of 11059 that divides 11059 without a remainder.

1,11059

Greatest Common Factor

We found the factors and prime factorization of 11054 and 11059. The biggest common factor number is the GCF number.
So the greatest common factor 11054 and 11059 is 1.

Also check out the Least Common Multiple of 11054 and 11059

(i) The GCF of 11054 and 11059 is associative

GCF of 11054 and 11059 = GCF of 11059 and 11054

1. What is the GCF of 11054 and 11059?

Answer: GCF of 11054 and 11059 is 1.

2. What are the Factors of 11054?

Answer: Factors of 11054 are 1, 2, 5527, 11054. There are 4 integers that are factors of 11054. The greatest factor of 11054 is 11054.

3. What are the Factors of 11059?

Answer: Factors of 11059 are 1, 11059. There are 2 integers that are factors of 11059. The greatest factor of 11059 is 11059.

4. How to Find the GCF of 11054 and 11059?

Answer:

Greatest Common Factor of 11054 and 11059 = 1

Step 1: Find the prime factorization of 11054

11054 = 2 x 5527

Step 2: Find the prime factorization of 11059

11059 = 11059

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 11054 and 11059 is 1