Greatest Common Factor of 4917 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 4917, 4921 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4917 and 4921 is 1.

GCF(4917,4921) = 1

GCF of 4917 and 4921

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

GCF of:
and

Greatest Common Factor of 4917 and 4921

GCF of 4917 and 4921 is 1

Prime Factorization of 4917


3 4917
11 1639
149 149
1

Prime factors of 4917 are 3,11,149. Prime factorization of 4917 in exponential form is:

4917 = 31×111×1491

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

∴ So by taking common prime factors GCF of 4917 and 4921 is 1

Greatest Common Factor of 4917 and 4921 by matching factors method

Factors of 4917

List of positive integer factors of 4917 that divides 4917 without a remainder.

1,3,11,33,149,447,1639,4917

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 4917 and 4921. The biggest common factor number is the GCF number.
So the greatest common factor 4917 and 4921 is 1.

Also check out the Least Common Multiple of 4917 and 4921

Properties of GCF 4917 and 4921

(i) The GCF of 4917 and 4921 is associative

GCF of 4917 and 4921 = GCF of 4921 and 4917

Related Greatest Common Factor of 4917

Related Greatest Common Factor of 4921

Frequently Asked Questions on GCF of 4917 and 4921

1. What is the GCF of 4917 and 4921?

Answer: GCF of 4917 and 4921 is 1.

2. What are the Factors of 4917?

Answer: Factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917. There are 8 integers that are factors of 4917. The greatest factor of 4917 is 4917.

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 4917 and 4921?

Answer:

Greatest Common Factor of 4917 and 4921 = 1

Step 1: Find the prime factorization of 4917

4917 = 3 x 11 x 149

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 4917 and 4921 is 1