Greatest Common Factor of 2023 and 2029

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

• Greatest Common Factor of 2023 and 2029 by prime factorization method
• Greatest Common Factor of 2023 and 2029 by matching factors method

Prime Factorization of 2023

Prime factors of 2023 are 7,17. Prime factorization of 2023 in exponential form is:

2023 = 7¹×17²

Prime Factorization of 2029

Prime factors of 2029 are 2029. Prime factorization of 2029 in exponential form is:

2029 = 2029¹

∴ So by taking common prime factors GCF of 2023 and 2029 is 1

Factors of 2023

List of positive integer factors of 2023 that divides 2023 without a remainder.

1,7,17,119,289,2023

Factors of 2029

List of positive integer factors of 2029 that divides 2029 without a remainder.

1,2029

Greatest Common Factor

We found the factors and prime factorization of 2023 and 2029. The biggest common factor number is the GCF number.
So the greatest common factor 2023 and 2029 is 1.

Also check out the Least Common Multiple of 2023 and 2029

(i) The GCF of 2023 and 2029 is associative

GCF of 2023 and 2029 = GCF of 2029 and 2023

1. What is the GCF of 2023 and 2029?

Answer: GCF of 2023 and 2029 is 1.

2. What are the Factors of 2023?

Answer: Factors of 2023 are 1, 7, 17, 119, 289, 2023. There are 6 integers that are factors of 2023. The greatest factor of 2023 is 2023.

3. What are the Factors of 2029?

Answer: Factors of 2029 are 1, 2029. There are 2 integers that are factors of 2029. The greatest factor of 2029 is 2029.

4. How to Find the GCF of 2023 and 2029?

Answer:

Greatest Common Factor of 2023 and 2029 = 1

Step 1: Find the prime factorization of 2023

2023 = 7 x 17 x 17

Step 2: Find the prime factorization of 2029

2029 = 2029

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 2023 and 2029 is 1