Greatest Common Factor of 9049 and 9053

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

• Greatest Common Factor of 9049 and 9053 by prime factorization method
• Greatest Common Factor of 9049 and 9053 by matching factors method

Prime Factorization of 9049

Prime factors of 9049 are 9049. Prime factorization of 9049 in exponential form is:

9049 = 9049¹

Prime Factorization of 9053

Prime factors of 9053 are 11.Prime factorization of 9053 in exponential form is:

9053 = 11¹×823¹

∴ So by taking common prime factors GCF of 9049 and 9053 is 1

Factors of 9049

List of positive integer factors of 9049 that divides 9049 without a remainder.

1,9049

Factors of 9053

List of positive integer factors of 9053 that divides 9053 without a remainder.

1,11,823,9053

Greatest Common Factor

We found the factors and prime factorization of 9049 and 9053. The biggest common factor number is the GCF number.
So the greatest common factor 9049 and 9053 is 1.

Also check out the Least Common Multiple of 9049 and 9053

(i) The GCF of 9049 and 9053 is associative

GCF of 9049 and 9053 = GCF of 9053 and 9049

1. What is the GCF of 9049 and 9053?

Answer: GCF of 9049 and 9053 is 1.

2. What are the Factors of 9049?

Answer: Factors of 9049 are 1, 9049. There are 2 integers that are factors of 9049. The greatest factor of 9049 is 9049.

3. What are the Factors of 9053?

Answer: Factors of 9053 are 1, 11, 823, 9053. There are 4 integers that are factors of 9053. The greatest factor of 9053 is 9053.

4. How to Find the GCF of 9049 and 9053?

Answer:

Greatest Common Factor of 9049 and 9053 = 1

Step 1: Find the prime factorization of 9049

9049 = 9049

Step 2: Find the prime factorization of 9053

9053 = 11 x 823

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 9049 and 9053 is 1