Greatest Common Factor of 4913 and 4921

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 4913, 4921 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4913 and 4921 is 1.

GCF(4913,4921) = 1

GCF of 4913 and 4921

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

GCF of:
and

Greatest Common Factor of 4913 and 4921

GCF of 4913 and 4921 is 1

Prime Factorization of 4913


17 4913
17 289
17 17
1

Prime factors of 4913 are 17. Prime factorization of 4913 in exponential form is:

4913 = 173

Prime Factorization of 4921


7 4921
19 703
37 37
1

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

4921 = 71×191×371

∴ So by taking common prime factors GCF of 4913 and 4921 is 1

Greatest Common Factor of 4913 and 4921 by matching factors method

Factors of 4913

List of positive integer factors of 4913 that divides 4913 without a remainder.

1,17,289,4913

Factors of 4921

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

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

Greatest Common Factor

We found the factors and prime factorization of 4913 and 4921. The biggest common factor number is the GCF number.
So the greatest common factor 4913 and 4921 is 1.

Also check out the Least Common Multiple of 4913 and 4921

Properties of GCF 4913 and 4921

(i) The GCF of 4913 and 4921 is associative

GCF of 4913 and 4921 = GCF of 4921 and 4913

Related Greatest Common Factor of 4913

Related Greatest Common Factor of 4921

Frequently Asked Questions on GCF of 4913 and 4921

1. What is the GCF of 4913 and 4921?

Answer: GCF of 4913 and 4921 is 1.

2. What are the Factors of 4913?

Answer: Factors of 4913 are 1, 17, 289, 4913. There are 4 integers that are factors of 4913. The greatest factor of 4913 is 4913.

3. 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.

4. How to Find the GCF of 4913 and 4921?

Answer:

Greatest Common Factor of 4913 and 4921 = 1

Step 1: Find the prime factorization of 4913

4913 = 17 x 17 x 17

Step 2: Find the prime factorization of 4921

4921 = 7 x 19 x 37

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 4913 and 4921 is 1