Greatest Common Factor of 3049 and 3053

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

• Greatest Common Factor of 3049 and 3053 by prime factorization method
• Greatest Common Factor of 3049 and 3053 by matching factors method

Prime Factorization of 3049

Prime factors of 3049 are 3049. Prime factorization of 3049 in exponential form is:

3049 = 3049¹

Prime Factorization of 3053

Prime factors of 3053 are 43.Prime factorization of 3053 in exponential form is:

3053 = 43¹×71¹

∴ So by taking common prime factors GCF of 3049 and 3053 is 1

Factors of 3049

List of positive integer factors of 3049 that divides 3049 without a remainder.

1,3049

Factors of 3053

List of positive integer factors of 3053 that divides 3053 without a remainder.

1,43,71,3053

Greatest Common Factor

We found the factors and prime factorization of 3049 and 3053. The biggest common factor number is the GCF number.
So the greatest common factor 3049 and 3053 is 1.

Also check out the Least Common Multiple of 3049 and 3053

(i) The GCF of 3049 and 3053 is associative

GCF of 3049 and 3053 = GCF of 3053 and 3049

1. What is the GCF of 3049 and 3053?

Answer: GCF of 3049 and 3053 is 1.

2. What are the Factors of 3049?

Answer: Factors of 3049 are 1, 3049. There are 2 integers that are factors of 3049. The greatest factor of 3049 is 3049.

3. What are the Factors of 3053?

Answer: Factors of 3053 are 1, 43, 71, 3053. There are 4 integers that are factors of 3053. The greatest factor of 3053 is 3053.

4. How to Find the GCF of 3049 and 3053?

Answer:

Greatest Common Factor of 3049 and 3053 = 1

Step 1: Find the prime factorization of 3049

3049 = 3049

Step 2: Find the prime factorization of 3053

3053 = 43 x 71

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 3049 and 3053 is 1