Greatest Common Factor of 4921 and 4929

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 4921, 4929 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4921 and 4929 is 1.

GCF(4921,4929) = 1

GCF of 4921 and 4929

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

GCF of:
and

Greatest Common Factor of 4921 and 4929

GCF of 4921 and 4929 is 1

Prime Factorization of 4921


7 4921
19 703
37 37
1

Prime factors of 4921 are 7,19,37. Prime factorization of 4921 in exponential form is:

4921 = 71×191×371

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

∴ So by taking common prime factors GCF of 4921 and 4929 is 1

Greatest Common Factor of 4921 and 4929 by matching factors method

Factors of 4921

List of positive integer factors of 4921 that divides 4921 without a remainder.

1,7,19,37,133,259,703,4921

Factors of 4929

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

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

Greatest Common Factor

We found the factors and prime factorization of 4921 and 4929. The biggest common factor number is the GCF number.
So the greatest common factor 4921 and 4929 is 1.

Also check out the Least Common Multiple of 4921 and 4929

Properties of GCF 4921 and 4929

(i) The GCF of 4921 and 4929 is associative

GCF of 4921 and 4929 = GCF of 4929 and 4921

Related Greatest Common Factor of 4921

Related Greatest Common Factor of 4929

Frequently Asked Questions on GCF of 4921 and 4929

1. What is the GCF of 4921 and 4929?

Answer: GCF of 4921 and 4929 is 1.

2. What are the Factors of 4921?

Answer: Factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921. There are 8 integers that are factors of 4921. The greatest factor of 4921 is 4921.

3. 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.

4. How to Find the GCF of 4921 and 4929?

Answer:

Greatest Common Factor of 4921 and 4929 = 1

Step 1: Find the prime factorization of 4921

4921 = 7 x 19 x 37

Step 2: Find the prime factorization of 4929

4929 = 3 x 31 x 53

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 4921 and 4929 is 1