Greatest Common Factor of 7867 and 7871

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

• Greatest Common Factor of 7867 and 7871 by prime factorization method
• Greatest Common Factor of 7867 and 7871 by matching factors method

Prime Factorization of 7867

Prime factors of 7867 are 7867. Prime factorization of 7867 in exponential form is:

7867 = 7867¹

Prime Factorization of 7871

Prime factors of 7871 are 17.Prime factorization of 7871 in exponential form is:

7871 = 17¹×463¹

∴ So by taking common prime factors GCF of 7867 and 7871 is 1

Factors of 7867

List of positive integer factors of 7867 that divides 7867 without a remainder.

1,7867

Factors of 7871

List of positive integer factors of 7871 that divides 7871 without a remainder.

1,17,463,7871

Greatest Common Factor

We found the factors and prime factorization of 7867 and 7871. The biggest common factor number is the GCF number.
So the greatest common factor 7867 and 7871 is 1.

Also check out the Least Common Multiple of 7867 and 7871

(i) The GCF of 7867 and 7871 is associative

GCF of 7867 and 7871 = GCF of 7871 and 7867

1. What is the GCF of 7867 and 7871?

Answer: GCF of 7867 and 7871 is 1.

2. What are the Factors of 7867?

Answer: Factors of 7867 are 1, 7867. There are 2 integers that are factors of 7867. The greatest factor of 7867 is 7867.

3. What are the Factors of 7871?

Answer: Factors of 7871 are 1, 17, 463, 7871. There are 4 integers that are factors of 7871. The greatest factor of 7871 is 7871.

4. How to Find the GCF of 7867 and 7871?

Answer:

Greatest Common Factor of 7867 and 7871 = 1

Step 1: Find the prime factorization of 7867

7867 = 7867

Step 2: Find the prime factorization of 7871

7871 = 17 x 463

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 7867 and 7871 is 1