Greatest Common Factor of 4929 and 4937

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 4929, 4937 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4929 and 4937 is 1.

GCF(4929,4937) = 1

GCF of 4929 and 4937

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

GCF of:
and

Greatest Common Factor of 4929 and 4937

GCF of 4929 and 4937 is 1

Prime Factorization of 4929


3 4929
31 1643
53 53
1

Prime factors of 4929 are 3,31,53. Prime factorization of 4929 in exponential form is:

4929 = 31×311×531

Prime Factorization of 4937


4937 4937
1

Prime factors of 4937 are 4937. Prime factorization of 4937 in exponential form is:

4937 = 49371

∴ So by taking common prime factors GCF of 4929 and 4937 is 1

Greatest Common Factor of 4929 and 4937 by matching factors method

Factors of 4929

List of positive integer factors of 4929 that divides 4929 without a remainder.

1,3,31,53,93,159,1643,4929

Factors of 4937

List of positive integer factors of 4937 that divides 4937 without a remainder.

1,4937

Greatest Common Factor

We found the factors and prime factorization of 4929 and 4937. The biggest common factor number is the GCF number.
So the greatest common factor 4929 and 4937 is 1.

Also check out the Least Common Multiple of 4929 and 4937

Properties of GCF 4929 and 4937

(i) The GCF of 4929 and 4937 is associative

GCF of 4929 and 4937 = GCF of 4937 and 4929

Related Greatest Common Factor of 4929

Related Greatest Common Factor of 4937

Frequently Asked Questions on GCF of 4929 and 4937

1. What is the GCF of 4929 and 4937?

Answer: GCF of 4929 and 4937 is 1.

2. What are the Factors of 4929?

Answer: Factors of 4929 are 1, 3, 31, 53, 93, 159, 1643, 4929. There are 8 integers that are factors of 4929. The greatest factor of 4929 is 4929.

3. What are the Factors of 4937?

Answer: Factors of 4937 are 1, 4937. There are 2 integers that are factors of 4937. The greatest factor of 4937 is 4937.

4. How to Find the GCF of 4929 and 4937?

Answer:

Greatest Common Factor of 4929 and 4937 = 1

Step 1: Find the prime factorization of 4929

4929 = 3 x 31 x 53

Step 2: Find the prime factorization of 4937

4937 = 4937

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 4929 and 4937 is 1