Greatest Common Factor of 4242 and 4249

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 4242, 4249 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4242 and 4249 is 7.

GCF(4242,4249) = 7

GCF of 4242 and 4249

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

GCF of:
and

Greatest Common Factor of 4242 and 4249

GCF of 4242 and 4249 is 7

Prime Factorization of 4242


2 4242
3 2121
7 707
101 101
1

Prime factors of 4242 are 2,3,7,101. Prime factorization of 4242 in exponential form is:

4242 = 21×31×71×1011

Prime Factorization of 4249


7 4249
607 607
1

Prime factors of 4249 are 7,607. Prime factorization of 4249 in exponential form is:

4249 = 71×6071

∴ So by taking common prime factors GCF of 4242 and 4249 is 7

Greatest Common Factor of 4242 and 4249 by matching factors method

Factors of 4242

List of positive integer factors of 4242 that divides 4242 without a remainder.

1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242

Factors of 4249

List of positive integer factors of 4249 that divides 4249 without a remainder.

1,7,607,4249

Greatest Common Factor

We found the factors and prime factorization of 4242 and 4249. The biggest common factor number is the GCF number.
So the greatest common factor 4242 and 4249 is 7.

Also check out the Least Common Multiple of 4242 and 4249

Properties of GCF 4242 and 4249

(i) The GCF of 4242 and 4249 is associative

GCF of 4242 and 4249 = GCF of 4249 and 4242

Related Greatest Common Factor of 4242

Related Greatest Common Factor of 4249

Frequently Asked Questions on GCF of 4242 and 4249

1. What is the GCF of 4242 and 4249?

Answer: GCF of 4242 and 4249 is 7.

2. What are the Factors of 4242?

Answer: Factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242. There are 16 integers that are factors of 4242. The greatest factor of 4242 is 4242.

3. What are the Factors of 4249?

Answer: Factors of 4249 are 1, 7, 607, 4249. There are 4 integers that are factors of 4249. The greatest factor of 4249 is 4249.

4. How to Find the GCF of 4242 and 4249?

Answer:

Greatest Common Factor of 4242 and 4249 = 7

Step 1: Find the prime factorization of 4242

4242 = 2 x 3 x 7 x 101

Step 2: Find the prime factorization of 4249

4249 = 7 x 607

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 4242 and 4249 is 7