Greatest Common Factor of 5036 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 5036, 5037 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5036 and 5037 is 1.

GCF(5036,5037) = 1

GCF of 5036 and 5037

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

GCF of:
and

Greatest Common Factor of 5036 and 5037

GCF of 5036 and 5037 is 1

Prime Factorization of 5036


2 5036
2 2518
1259 1259
1

Prime factors of 5036 are 2,1259. Prime factorization of 5036 in exponential form is:

5036 = 22×12591

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 5036 and 5037 is 1

Greatest Common Factor of 5036 and 5037 by matching factors method

Factors of 5036

List of positive integer factors of 5036 that divides 5036 without a remainder.

1,2,4,1259,2518,5036

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 5036 and 5037. The biggest common factor number is the GCF number.
So the greatest common factor 5036 and 5037 is 1.

Also check out the Least Common Multiple of 5036 and 5037

Properties of GCF 5036 and 5037

(i) The GCF of 5036 and 5037 is associative

GCF of 5036 and 5037 = GCF of 5037 and 5036

Frequently Asked Questions on GCF of 5036 and 5037

1. What is the GCF of 5036 and 5037?

Answer: GCF of 5036 and 5037 is 1.

2. What are the Factors of 5036?

Answer: Factors of 5036 are 1, 2, 4, 1259, 2518, 5036. There are 6 integers that are factors of 5036. The greatest factor of 5036 is 5036.

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 5036 and 5037?

Answer:

Greatest Common Factor of 5036 and 5037 = 1

Step 1: Find the prime factorization of 5036

5036 = 2 x 2 x 1259

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 = = 1

Step 4: Therefore, the greatest common factor of 5036 and 5037 is 1