Greatest Common Factor of 4942 and 4949

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 4942, 4949 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4942 and 4949 is 7.

GCF(4942,4949) = 7

GCF of 4942 and 4949

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

GCF of:
and

Greatest Common Factor of 4942 and 4949

GCF of 4942 and 4949 is 7

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

Prime Factorization of 4949


7 4949
7 707
101 101
1

Prime factors of 4949 are 7,101. Prime factorization of 4949 in exponential form is:

4949 = 72×1011

∴ So by taking common prime factors GCF of 4942 and 4949 is 7

Greatest Common Factor of 4942 and 4949 by matching factors method

Factors of 4942

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

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

Factors of 4949

List of positive integer factors of 4949 that divides 4949 without a remainder.

1,7,49,101,707,4949

Greatest Common Factor

We found the factors and prime factorization of 4942 and 4949. The biggest common factor number is the GCF number.
So the greatest common factor 4942 and 4949 is 7.

Also check out the Least Common Multiple of 4942 and 4949

Properties of GCF 4942 and 4949

(i) The GCF of 4942 and 4949 is associative

GCF of 4942 and 4949 = GCF of 4949 and 4942

Related Greatest Common Factor of 4942

Related Greatest Common Factor of 4949

Frequently Asked Questions on GCF of 4942 and 4949

1. What is the GCF of 4942 and 4949?

Answer: GCF of 4942 and 4949 is 7.

2. 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.

3. What are the Factors of 4949?

Answer: Factors of 4949 are 1, 7, 49, 101, 707, 4949. There are 6 integers that are factors of 4949. The greatest factor of 4949 is 4949.

4. How to Find the GCF of 4942 and 4949?

Answer:

Greatest Common Factor of 4942 and 4949 = 7

Step 1: Find the prime factorization of 4942

4942 = 2 x 7 x 353

Step 2: Find the prime factorization of 4949

4949 = 7 x 7 x 101

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 4942 and 4949 is 7