Greatest Common Factor of 7031 and 7039

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

• Greatest Common Factor of 7031 and 7039 by prime factorization method
• Greatest Common Factor of 7031 and 7039 by matching factors method

Prime Factorization of 7031

Prime factors of 7031 are 79,89. Prime factorization of 7031 in exponential form is:

7031 = 79¹×89¹

Prime Factorization of 7039

Prime factors of 7039 are 7039. Prime factorization of 7039 in exponential form is:

7039 = 7039¹

∴ So by taking common prime factors GCF of 7031 and 7039 is 1

Factors of 7031

List of positive integer factors of 7031 that divides 7031 without a remainder.

1,79,89,7031

Factors of 7039

List of positive integer factors of 7039 that divides 7039 without a remainder.

1,7039

Greatest Common Factor

We found the factors and prime factorization of 7031 and 7039. The biggest common factor number is the GCF number.
So the greatest common factor 7031 and 7039 is 1.

Also check out the Least Common Multiple of 7031 and 7039

(i) The GCF of 7031 and 7039 is associative

GCF of 7031 and 7039 = GCF of 7039 and 7031

1. What is the GCF of 7031 and 7039?

Answer: GCF of 7031 and 7039 is 1.

2. What are the Factors of 7031?

Answer: Factors of 7031 are 1, 79, 89, 7031. There are 4 integers that are factors of 7031. The greatest factor of 7031 is 7031.

3. What are the Factors of 7039?

Answer: Factors of 7039 are 1, 7039. There are 2 integers that are factors of 7039. The greatest factor of 7039 is 7039.

4. How to Find the GCF of 7031 and 7039?

Answer:

Greatest Common Factor of 7031 and 7039 = 1

Step 1: Find the prime factorization of 7031

7031 = 79 x 89

Step 2: Find the prime factorization of 7039

7039 = 7039

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 7031 and 7039 is 1