Greatest Common Factor of 679 and 683

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

• Greatest Common Factor of 679 and 683 by prime factorization method
• Greatest Common Factor of 679 and 683 by matching factors method

Prime Factorization of 679

Prime factors of 679 are 7,97. Prime factorization of 679 in exponential form is:

679 = 7¹×97¹

Prime Factorization of 683

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

683 = 683¹

∴ So by taking common prime factors GCF of 679 and 683 is 1

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 683

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

1,683

Greatest Common Factor

We found the factors and prime factorization of 679 and 683. The biggest common factor number is the GCF number.
So the greatest common factor 679 and 683 is 1.

Also check out the Least Common Multiple of 679 and 683

(i) The GCF of 679 and 683 is associative

GCF of 679 and 683 = GCF of 683 and 679

1. What is the GCF of 679 and 683?

Answer: GCF of 679 and 683 is 1.

2. What are the Factors of 679?

Answer: Factors of 679 are 1, 7, 97, 679. There are 4 integers that are factors of 679. The greatest factor of 679 is 679.

3. 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.

4. How to Find the GCF of 679 and 683?

Answer:

Greatest Common Factor of 679 and 683 = 1

Step 1: Find the prime factorization of 679

679 = 7 x 97

Step 2: Find the prime factorization of 683

683 = 683

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 679 and 683 is 1