Greatest Common Factor of 4924 and 4930

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 4924, 4930 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4924 and 4930 is 2.

GCF(4924,4930) = 2

GCF of 4924 and 4930

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

GCF of:
and

Greatest Common Factor of 4924 and 4930

GCF of 4924 and 4930 is 2

Prime Factorization of 4924


2 4924
2 2462
1231 1231
1

Prime factors of 4924 are 2,1231. Prime factorization of 4924 in exponential form is:

4924 = 22×12311

Prime Factorization of 4930


2 4930
5 2465
17 493
29 29
1

Prime factors of 4930 are 2,5,17,29. Prime factorization of 4930 in exponential form is:

4930 = 21×51×171×291

∴ So by taking common prime factors GCF of 4924 and 4930 is 2

Greatest Common Factor of 4924 and 4930 by matching factors method

Factors of 4924

List of positive integer factors of 4924 that divides 4924 without a remainder.

1,2,4,1231,2462,4924

Factors of 4930

List of positive integer factors of 4930 that divides 4930 without a remainder.

1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930

Greatest Common Factor

We found the factors and prime factorization of 4924 and 4930. The biggest common factor number is the GCF number.
So the greatest common factor 4924 and 4930 is 2.

Also check out the Least Common Multiple of 4924 and 4930

Properties of GCF 4924 and 4930

(i) The GCF of 4924 and 4930 is associative

GCF of 4924 and 4930 = GCF of 4930 and 4924

Related Greatest Common Factor of 4924

Related Greatest Common Factor of 4930

Frequently Asked Questions on GCF of 4924 and 4930

1. What is the GCF of 4924 and 4930?

Answer: GCF of 4924 and 4930 is 2.

2. What are the Factors of 4924?

Answer: Factors of 4924 are 1, 2, 4, 1231, 2462, 4924. There are 6 integers that are factors of 4924. The greatest factor of 4924 is 4924.

3. What are the Factors of 4930?

Answer: Factors of 4930 are 1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930. There are 16 integers that are factors of 4930. The greatest factor of 4930 is 4930.

4. How to Find the GCF of 4924 and 4930?

Answer:

Greatest Common Factor of 4924 and 4930 = 2

Step 1: Find the prime factorization of 4924

4924 = 2 x 2 x 1231

Step 2: Find the prime factorization of 4930

4930 = 2 x 5 x 17 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 4924 and 4930 is 2