Greatest Common Factor of 4935 and 4942

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 4935, 4942 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4935 and 4942 is 7.

GCF(4935,4942) = 7

GCF of 4935 and 4942

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

GCF of:
and

Greatest Common Factor of 4935 and 4942

GCF of 4935 and 4942 is 7

Prime Factorization of 4935


3 4935
5 1645
7 329
47 47
1

Prime factors of 4935 are 3,5,7,47. Prime factorization of 4935 in exponential form is:

4935 = 31×51×71×471

Prime Factorization of 4942


2 4942
7 2471
353 353
1

Prime factors of 4942 are 2,7,353. Prime factorization of 4942 in exponential form is:

4942 = 21×71×3531

∴ So by taking common prime factors GCF of 4935 and 4942 is 7

Greatest Common Factor of 4935 and 4942 by matching factors method

Factors of 4935

List of positive integer factors of 4935 that divides 4935 without a remainder.

1,3,5,7,15,21,35,47,105,141,235,329,705,987,1645,4935

Factors of 4942

List of positive integer factors of 4942 that divides 4942 without a remainder.

1,2,7,14,353,706,2471,4942

Greatest Common Factor

We found the factors and prime factorization of 4935 and 4942. The biggest common factor number is the GCF number.
So the greatest common factor 4935 and 4942 is 7.

Also check out the Least Common Multiple of 4935 and 4942

Properties of GCF 4935 and 4942

(i) The GCF of 4935 and 4942 is associative

GCF of 4935 and 4942 = GCF of 4942 and 4935

Related Greatest Common Factor of 4935

Related Greatest Common Factor of 4942

Frequently Asked Questions on GCF of 4935 and 4942

1. What is the GCF of 4935 and 4942?

Answer: GCF of 4935 and 4942 is 7.

2. What are the Factors of 4935?

Answer: Factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935. There are 16 integers that are factors of 4935. The greatest factor of 4935 is 4935.

3. What are the Factors of 4942?

Answer: Factors of 4942 are 1, 2, 7, 14, 353, 706, 2471, 4942. There are 8 integers that are factors of 4942. The greatest factor of 4942 is 4942.

4. How to Find the GCF of 4935 and 4942?

Answer:

Greatest Common Factor of 4935 and 4942 = 7

Step 1: Find the prime factorization of 4935

4935 = 3 x 5 x 7 x 47

Step 2: Find the prime factorization of 4942

4942 = 2 x 7 x 353

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4935 and 4942 is 7