Greatest Common Factor of 659 and 667

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

• Greatest Common Factor of 659 and 667 by prime factorization method
• Greatest Common Factor of 659 and 667 by matching factors method

Prime Factorization of 659

Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:

659 = 659¹

Prime Factorization of 667

Prime factors of 667 are 23.Prime factorization of 667 in exponential form is:

667 = 23¹×29¹

∴ So by taking common prime factors GCF of 659 and 667 is 1

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors and prime factorization of 659 and 667. The biggest common factor number is the GCF number.
So the greatest common factor 659 and 667 is 1.

Also check out the Least Common Multiple of 659 and 667

(i) The GCF of 659 and 667 is associative

GCF of 659 and 667 = GCF of 667 and 659

1. What is the GCF of 659 and 667?

Answer: GCF of 659 and 667 is 1.

2. What are the Factors of 659?

Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.

3. What are the Factors of 667?

Answer: Factors of 667 are 1, 23, 29, 667. There are 4 integers that are factors of 667. The greatest factor of 667 is 667.

4. How to Find the GCF of 659 and 667?

Answer:

Greatest Common Factor of 659 and 667 = 1

Step 1: Find the prime factorization of 659

659 = 659

Step 2: Find the prime factorization of 667

667 = 23 x 29

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 659 and 667 is 1