Greatest Common Factor of 4559 and 4567

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

• Greatest Common Factor of 4559 and 4567 by prime factorization method
• Greatest Common Factor of 4559 and 4567 by matching factors method

Prime Factorization of 4559

Prime factors of 4559 are 47,97. Prime factorization of 4559 in exponential form is:

4559 = 47¹×97¹

Prime Factorization of 4567

Prime factors of 4567 are 4567. Prime factorization of 4567 in exponential form is:

4567 = 4567¹

∴ So by taking common prime factors GCF of 4559 and 4567 is 1

Factors of 4559

List of positive integer factors of 4559 that divides 4559 without a remainder.

1,47,97,4559

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1,4567

Greatest Common Factor

We found the factors and prime factorization of 4559 and 4567. The biggest common factor number is the GCF number.
So the greatest common factor 4559 and 4567 is 1.

Also check out the Least Common Multiple of 4559 and 4567

(i) The GCF of 4559 and 4567 is associative

GCF of 4559 and 4567 = GCF of 4567 and 4559

1. What is the GCF of 4559 and 4567?

Answer: GCF of 4559 and 4567 is 1.

2. What are the Factors of 4559?

Answer: Factors of 4559 are 1, 47, 97, 4559. There are 4 integers that are factors of 4559. The greatest factor of 4559 is 4559.

3. What are the Factors of 4567?

Answer: Factors of 4567 are 1, 4567. There are 2 integers that are factors of 4567. The greatest factor of 4567 is 4567.

4. How to Find the GCF of 4559 and 4567?

Answer:

Greatest Common Factor of 4559 and 4567 = 1

Step 1: Find the prime factorization of 4559

4559 = 47 x 97

Step 2: Find the prime factorization of 4567

4567 = 4567

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 4559 and 4567 is 1