Greatest Common Factor of 4996 and 4998

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 4996, 4998 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4996 and 4998 is 2.

GCF(4996,4998) = 2

GCF of 4996 and 4998

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

GCF of:
and

Greatest Common Factor of 4996 and 4998

GCF of 4996 and 4998 is 2

Prime Factorization of 4996


2 4996
2 2498
1249 1249
1

Prime factors of 4996 are 2,1249. Prime factorization of 4996 in exponential form is:

4996 = 22×12491

Prime Factorization of 4998


2 4998
3 2499
7 833
7 119
17 17
1

Prime factors of 4998 are 2,3,7,17. Prime factorization of 4998 in exponential form is:

4998 = 21×31×72×171

∴ So by taking common prime factors GCF of 4996 and 4998 is 2

Greatest Common Factor of 4996 and 4998 by matching factors method

Factors of 4996

List of positive integer factors of 4996 that divides 4996 without a remainder.

1,2,4,1249,2498,4996

Factors of 4998

List of positive integer factors of 4998 that divides 4998 without a remainder.

1,2,3,6,7,14,17,21,34,42,49,51,98,102,119,147,238,294,357,714,833,1666,2499,4998

Greatest Common Factor

We found the factors and prime factorization of 4996 and 4998. The biggest common factor number is the GCF number.
So the greatest common factor 4996 and 4998 is 2.

Also check out the Least Common Multiple of 4996 and 4998

Properties of GCF 4996 and 4998

(i) The GCF of 4996 and 4998 is associative

GCF of 4996 and 4998 = GCF of 4998 and 4996

Related Greatest Common Factor of 4996

Related Greatest Common Factor of 4998

Frequently Asked Questions on GCF of 4996 and 4998

1. What is the GCF of 4996 and 4998?

Answer: GCF of 4996 and 4998 is 2.

2. What are the Factors of 4996?

Answer: Factors of 4996 are 1, 2, 4, 1249, 2498, 4996. There are 6 integers that are factors of 4996. The greatest factor of 4996 is 4996.

3. What are the Factors of 4998?

Answer: Factors of 4998 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499, 4998. There are 24 integers that are factors of 4998. The greatest factor of 4998 is 4998.

4. How to Find the GCF of 4996 and 4998?

Answer:

Greatest Common Factor of 4996 and 4998 = 2

Step 1: Find the prime factorization of 4996

4996 = 2 x 2 x 1249

Step 2: Find the prime factorization of 4998

4998 = 2 x 3 x 7 x 7 x 17

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4996 and 4998 is 2