Greatest Common Factor of 659 and 661

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

• Greatest Common Factor of 659 and 661 by prime factorization method
• Greatest Common Factor of 659 and 661 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 661

Prime factors of 661 are 661.Prime factorization of 661 in exponential form is:

661 = 661¹

∴ So by taking common prime factors GCF of 659 and 661 is 1

Factors of 659

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

1,659

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors and prime factorization of 659 and 661. The biggest common factor number is the GCF number.
So the greatest common factor 659 and 661 is 1.

Also check out the Least Common Multiple of 659 and 661

(i) The GCF of 659 and 661 is associative

GCF of 659 and 661 = GCF of 661 and 659

1. What is the GCF of 659 and 661?

Answer: GCF of 659 and 661 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 661?

Answer: Factors of 661 are 1, 661. There are 2 integers that are factors of 661. The greatest factor of 661 is 661.

4. How to Find the GCF of 659 and 661?

Answer:

Greatest Common Factor of 659 and 661 = 1

Step 1: Find the prime factorization of 659

659 = 659

Step 2: Find the prime factorization of 661

661 = 661

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 661 is 1