Greatest Common Factor of 4842 and 4848

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 4842, 4848 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4842 and 4848 is 6.

GCF(4842,4848) = 6

GCF of 4842 and 4848

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

GCF of:
and

Greatest Common Factor of 4842 and 4848

GCF of 4842 and 4848 is 6

Prime Factorization of 4842


2 4842
3 2421
3 807
269 269
1

Prime factors of 4842 are 2,3,269. Prime factorization of 4842 in exponential form is:

4842 = 21×32×2691

Prime Factorization of 4848


2 4848
2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 4848 are 2,3,101. Prime factorization of 4848 in exponential form is:

4848 = 24×31×1011

∴ So by taking common prime factors GCF of 4842 and 4848 is 6

Greatest Common Factor of 4842 and 4848 by matching factors method

Factors of 4842

List of positive integer factors of 4842 that divides 4842 without a remainder.

1,2,3,6,9,18,269,538,807,1614,2421,4842

Factors of 4848

List of positive integer factors of 4848 that divides 4848 without a remainder.

1,2,3,4,6,8,12,16,24,48,101,202,303,404,606,808,1212,1616,2424,4848

Greatest Common Factor

We found the factors and prime factorization of 4842 and 4848. The biggest common factor number is the GCF number.
So the greatest common factor 4842 and 4848 is 6.

Also check out the Least Common Multiple of 4842 and 4848

Properties of GCF 4842 and 4848

(i) The GCF of 4842 and 4848 is associative

GCF of 4842 and 4848 = GCF of 4848 and 4842

Related Greatest Common Factor of 4842

Related Greatest Common Factor of 4848

Frequently Asked Questions on GCF of 4842 and 4848

1. What is the GCF of 4842 and 4848?

Answer: GCF of 4842 and 4848 is 6.

2. What are the Factors of 4842?

Answer: Factors of 4842 are 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842. There are 12 integers that are factors of 4842. The greatest factor of 4842 is 4842.

3. What are the Factors of 4848?

Answer: Factors of 4848 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 4848. There are 20 integers that are factors of 4848. The greatest factor of 4848 is 4848.

4. How to Find the GCF of 4842 and 4848?

Answer:

Greatest Common Factor of 4842 and 4848 = 6

Step 1: Find the prime factorization of 4842

4842 = 2 x 3 x 3 x 269

Step 2: Find the prime factorization of 4848

4848 = 2 x 2 x 2 x 2 x 3 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 4842 and 4848 is 6