Greatest Common Factor of 31038 and 31043

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 31038, 31043 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31038 and 31043 is 1.

GCF(31038,31043) = 1

GCF of 31038 and 31043

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

GCF of:
and

Greatest Common Factor of 31038 and 31043

GCF of 31038 and 31043 is 1

Prime Factorization of 31038


2 31038
3 15519
7 5173
739 739
1

Prime factors of 31038 are 2,3,7,739. Prime factorization of 31038 in exponential form is:

31038 = 21×31×71×7391

Prime Factorization of 31043


37 31043
839 839
1

Prime factors of 31043 are 37,839. Prime factorization of 31043 in exponential form is:

31043 = 371×8391

∴ So by taking common prime factors GCF of 31038 and 31043 is 1

Greatest Common Factor of 31038 and 31043 by matching factors method

Factors of 31038

List of positive integer factors of 31038 that divides 31038 without a remainder.

1,2,3,6,7,14,21,42,739,1478,2217,4434,5173,10346,15519,31038

Factors of 31043

List of positive integer factors of 31043 that divides 31043 without a remainder.

1,37,839,31043

Greatest Common Factor

We found the factors and prime factorization of 31038 and 31043. The biggest common factor number is the GCF number.
So the greatest common factor 31038 and 31043 is 1.

Also check out the Least Common Multiple of 31038 and 31043

Properties of GCF 31038 and 31043

(i) The GCF of 31038 and 31043 is associative

GCF of 31038 and 31043 = GCF of 31043 and 31038

Related Greatest Common Factor of 31038

Related Greatest Common Factor of 31043

Frequently Asked Questions on GCF of 31038 and 31043

1. What is the GCF of 31038 and 31043?

Answer: GCF of 31038 and 31043 is 1.

2. What are the Factors of 31038?

Answer: Factors of 31038 are 1, 2, 3, 6, 7, 14, 21, 42, 739, 1478, 2217, 4434, 5173, 10346, 15519, 31038. There are 16 integers that are factors of 31038. The greatest factor of 31038 is 31038.

3. What are the Factors of 31043?

Answer: Factors of 31043 are 1, 37, 839, 31043. There are 4 integers that are factors of 31043. The greatest factor of 31043 is 31043.

4. How to Find the GCF of 31038 and 31043?

Answer:

Greatest Common Factor of 31038 and 31043 = 1

Step 1: Find the prime factorization of 31038

31038 = 2 x 3 x 7 x 739

Step 2: Find the prime factorization of 31043

31043 = 37 x 839

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 31038 and 31043 is 1