Greatest Common Factor of 9671 and 9679

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

• Greatest Common Factor of 9671 and 9679 by prime factorization method
• Greatest Common Factor of 9671 and 9679 by matching factors method

Prime Factorization of 9671

Prime factors of 9671 are 19,509. Prime factorization of 9671 in exponential form is:

9671 = 19¹×509¹

Prime Factorization of 9679

Prime factors of 9679 are 9679. Prime factorization of 9679 in exponential form is:

9679 = 9679¹

∴ So by taking common prime factors GCF of 9671 and 9679 is 1

Factors of 9671

List of positive integer factors of 9671 that divides 9671 without a remainder.

1,19,509,9671

Factors of 9679

List of positive integer factors of 9679 that divides 9679 without a remainder.

1,9679

Greatest Common Factor

We found the factors and prime factorization of 9671 and 9679. The biggest common factor number is the GCF number.
So the greatest common factor 9671 and 9679 is 1.

Also check out the Least Common Multiple of 9671 and 9679

(i) The GCF of 9671 and 9679 is associative

GCF of 9671 and 9679 = GCF of 9679 and 9671

1. What is the GCF of 9671 and 9679?

Answer: GCF of 9671 and 9679 is 1.

2. What are the Factors of 9671?

Answer: Factors of 9671 are 1, 19, 509, 9671. There are 4 integers that are factors of 9671. The greatest factor of 9671 is 9671.

3. What are the Factors of 9679?

Answer: Factors of 9679 are 1, 9679. There are 2 integers that are factors of 9679. The greatest factor of 9679 is 9679.

4. How to Find the GCF of 9671 and 9679?

Answer:

Greatest Common Factor of 9671 and 9679 = 1

Step 1: Find the prime factorization of 9671

9671 = 19 x 509

Step 2: Find the prime factorization of 9679

9679 = 9679

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 9671 and 9679 is 1