Greatest Common Factor of 4236 and 4242

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 4236, 4242 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4236 and 4242 is 6.

GCF(4236,4242) = 6

GCF of 4236 and 4242

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

GCF of:
and

Greatest Common Factor of 4236 and 4242

GCF of 4236 and 4242 is 6

Prime Factorization of 4236


2 4236
2 2118
3 1059
353 353
1

Prime factors of 4236 are 2,3,353. Prime factorization of 4236 in exponential form is:

4236 = 22×31×3531

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

∴ So by taking common prime factors GCF of 4236 and 4242 is 6

Greatest Common Factor of 4236 and 4242 by matching factors method

Factors of 4236

List of positive integer factors of 4236 that divides 4236 without a remainder.

1,2,3,4,6,12,353,706,1059,1412,2118,4236

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

Greatest Common Factor

We found the factors and prime factorization of 4236 and 4242. The biggest common factor number is the GCF number.
So the greatest common factor 4236 and 4242 is 6.

Also check out the Least Common Multiple of 4236 and 4242

Properties of GCF 4236 and 4242

(i) The GCF of 4236 and 4242 is associative

GCF of 4236 and 4242 = GCF of 4242 and 4236

Related Greatest Common Factor of 4236

Related Greatest Common Factor of 4242

Frequently Asked Questions on GCF of 4236 and 4242

1. What is the GCF of 4236 and 4242?

Answer: GCF of 4236 and 4242 is 6.

2. What are the Factors of 4236?

Answer: Factors of 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236. There are 12 integers that are factors of 4236. The greatest factor of 4236 is 4236.

3. 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.

4. How to Find the GCF of 4236 and 4242?

Answer:

Greatest Common Factor of 4236 and 4242 = 6

Step 1: Find the prime factorization of 4236

4236 = 2 x 2 x 3 x 353

Step 2: Find the prime factorization of 4242

4242 = 2 x 3 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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4236 and 4242 is 6