Greatest Common Factor of 4917 and 4922

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, 4922 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4917 and 4922 is 1.

GCF(4917,4922) = 1

GCF of 4917 and 4922

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

GCF of:
and

Greatest Common Factor of 4917 and 4922

GCF of 4917 and 4922 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 4922


2 4922
23 2461
107 107
1

Prime factors of 4922 are 2,23,107. Prime factorization of 4922 in exponential form is:

4922 = 21×231×1071

∴ So by taking common prime factors GCF of 4917 and 4922 is 1

Greatest Common Factor of 4917 and 4922 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 4922

List of positive integer factors of 4922 that divides 4922 without a remainder.

1,2,23,46,107,214,2461,4922

Greatest Common Factor

We found the factors and prime factorization of 4917 and 4922. The biggest common factor number is the GCF number.
So the greatest common factor 4917 and 4922 is 1.

Also check out the Least Common Multiple of 4917 and 4922

Properties of GCF 4917 and 4922

(i) The GCF of 4917 and 4922 is associative

GCF of 4917 and 4922 = GCF of 4922 and 4917

Related Greatest Common Factor of 4917

Related Greatest Common Factor of 4922

Frequently Asked Questions on GCF of 4917 and 4922

1. What is the GCF of 4917 and 4922?

Answer: GCF of 4917 and 4922 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 4922?

Answer: Factors of 4922 are 1, 2, 23, 46, 107, 214, 2461, 4922. There are 8 integers that are factors of 4922. The greatest factor of 4922 is 4922.

4. How to Find the GCF of 4917 and 4922?

Answer:

Greatest Common Factor of 4917 and 4922 = 1

Step 1: Find the prime factorization of 4917

4917 = 3 x 11 x 149

Step 2: Find the prime factorization of 4922

4922 = 2 x 23 x 107

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 4922 is 1