Greatest Common Factor of 683 and 689

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

• Greatest Common Factor of 683 and 689 by prime factorization method
• Greatest Common Factor of 683 and 689 by matching factors method

Prime Factorization of 683

Prime factors of 683 are 683. Prime factorization of 683 in exponential form is:

683 = 683¹

Prime Factorization of 689

Prime factors of 689 are 13.Prime factorization of 689 in exponential form is:

689 = 13¹×53¹

∴ So by taking common prime factors GCF of 683 and 689 is 1

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors and prime factorization of 683 and 689. The biggest common factor number is the GCF number.
So the greatest common factor 683 and 689 is 1.

Also check out the Least Common Multiple of 683 and 689

(i) The GCF of 683 and 689 is associative

GCF of 683 and 689 = GCF of 689 and 683

1. What is the GCF of 683 and 689?

Answer: GCF of 683 and 689 is 1.

2. What are the Factors of 683?

Answer: Factors of 683 are 1, 683. There are 2 integers that are factors of 683. The greatest factor of 683 is 683.

3. What are the Factors of 689?

Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.

4. How to Find the GCF of 683 and 689?

Answer:

Greatest Common Factor of 683 and 689 = 1

Step 1: Find the prime factorization of 683

683 = 683

Step 2: Find the prime factorization of 689

689 = 13 x 53

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 683 and 689 is 1