Greatest Common Factor of 3071 and 3073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3071, 3073 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3071 and 3073 is 1.

GCF(3071,3073) = 1

GCF of 3071 and 3073

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

GCF of:
and

Greatest Common Factor of 3071 and 3073

GCF of 3071 and 3073 is 1

Prime Factorization of 3071


37 3071
83 83
1

Prime factors of 3071 are 37,83. Prime factorization of 3071 in exponential form is:

3071 = 371×831

Prime Factorization of 3073


7 3073
439 439
1

Prime factors of 3073 are 7,439. Prime factorization of 3073 in exponential form is:

3073 = 71×4391

∴ So by taking common prime factors GCF of 3071 and 3073 is 1

Greatest Common Factor of 3071 and 3073 by matching factors method

Factors of 3071

List of positive integer factors of 3071 that divides 3071 without a remainder.

1,37,83,3071

Factors of 3073

List of positive integer factors of 3073 that divides 3073 without a remainder.

1,7,439,3073

Greatest Common Factor

We found the factors and prime factorization of 3071 and 3073. The biggest common factor number is the GCF number.
So the greatest common factor 3071 and 3073 is 1.

Also check out the Least Common Multiple of 3071 and 3073

Properties of GCF 3071 and 3073

(i) The GCF of 3071 and 3073 is associative

GCF of 3071 and 3073 = GCF of 3073 and 3071

Related Greatest Common Factor of 3071

Related Greatest Common Factor of 3073

Frequently Asked Questions on GCF of 3071 and 3073

1. What is the GCF of 3071 and 3073?

Answer: GCF of 3071 and 3073 is 1.

2. What are the Factors of 3071?

Answer: Factors of 3071 are 1, 37, 83, 3071. There are 4 integers that are factors of 3071. The greatest factor of 3071 is 3071.

3. What are the Factors of 3073?

Answer: Factors of 3073 are 1, 7, 439, 3073. There are 4 integers that are factors of 3073. The greatest factor of 3073 is 3073.

4. How to Find the GCF of 3071 and 3073?

Answer:

Greatest Common Factor of 3071 and 3073 = 1

Step 1: Find the prime factorization of 3071

3071 = 37 x 83

Step 2: Find the prime factorization of 3073

3073 = 7 x 439

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 3071 and 3073 is 1