Greatest Common Factor of 5034 and 5037

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 5034, 5037 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5034 and 5037 is 3.

GCF(5034,5037) = 3

GCF of 5034 and 5037

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

GCF of:
and

Greatest Common Factor of 5034 and 5037

GCF of 5034 and 5037 is 3

Prime Factorization of 5034


2 5034
3 2517
839 839
1

Prime factors of 5034 are 2,3,839. Prime factorization of 5034 in exponential form is:

5034 = 21×31×8391

Prime Factorization of 5037


3 5037
23 1679
73 73
1

Prime factors of 5037 are 3,23,73. Prime factorization of 5037 in exponential form is:

5037 = 31×231×731

∴ So by taking common prime factors GCF of 5034 and 5037 is 3

Greatest Common Factor of 5034 and 5037 by matching factors method

Factors of 5034

List of positive integer factors of 5034 that divides 5034 without a remainder.

1,2,3,6,839,1678,2517,5034

Factors of 5037

List of positive integer factors of 5037 that divides 5037 without a remainder.

1,3,23,69,73,219,1679,5037

Greatest Common Factor

We found the factors and prime factorization of 5034 and 5037. The biggest common factor number is the GCF number.
So the greatest common factor 5034 and 5037 is 3.

Also check out the Least Common Multiple of 5034 and 5037

Properties of GCF 5034 and 5037

(i) The GCF of 5034 and 5037 is associative

GCF of 5034 and 5037 = GCF of 5037 and 5034

Related Greatest Common Factor of 5034

Related Greatest Common Factor of 5037

Frequently Asked Questions on GCF of 5034 and 5037

1. What is the GCF of 5034 and 5037?

Answer: GCF of 5034 and 5037 is 3.

2. What are the Factors of 5034?

Answer: Factors of 5034 are 1, 2, 3, 6, 839, 1678, 2517, 5034. There are 8 integers that are factors of 5034. The greatest factor of 5034 is 5034.

3. What are the Factors of 5037?

Answer: Factors of 5037 are 1, 3, 23, 69, 73, 219, 1679, 5037. There are 8 integers that are factors of 5037. The greatest factor of 5037 is 5037.

4. How to Find the GCF of 5034 and 5037?

Answer:

Greatest Common Factor of 5034 and 5037 = 3

Step 1: Find the prime factorization of 5034

5034 = 2 x 3 x 839

Step 2: Find the prime factorization of 5037

5037 = 3 x 23 x 73

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 5034 and 5037 is 3