Greatest Common Factor of 4996 and 4997

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, 4997 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4996 and 4997 is 1.

GCF(4996,4997) = 1

GCF of 4996 and 4997

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

GCF of:
and

Greatest Common Factor of 4996 and 4997

GCF of 4996 and 4997 is 1

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 4997


19 4997
263 263
1

Prime factors of 4997 are 19,263. Prime factorization of 4997 in exponential form is:

4997 = 191×2631

∴ So by taking common prime factors GCF of 4996 and 4997 is 1

Greatest Common Factor of 4996 and 4997 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 4997

List of positive integer factors of 4997 that divides 4997 without a remainder.

1,19,263,4997

Greatest Common Factor

We found the factors and prime factorization of 4996 and 4997. The biggest common factor number is the GCF number.
So the greatest common factor 4996 and 4997 is 1.

Also check out the Least Common Multiple of 4996 and 4997

Properties of GCF 4996 and 4997

(i) The GCF of 4996 and 4997 is associative

GCF of 4996 and 4997 = GCF of 4997 and 4996

Related Greatest Common Factor of 4996

Related Greatest Common Factor of 4997

Frequently Asked Questions on GCF of 4996 and 4997

1. What is the GCF of 4996 and 4997?

Answer: GCF of 4996 and 4997 is 1.

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 4997?

Answer: Factors of 4997 are 1, 19, 263, 4997. There are 4 integers that are factors of 4997. The greatest factor of 4997 is 4997.

4. How to Find the GCF of 4996 and 4997?

Answer:

Greatest Common Factor of 4996 and 4997 = 1

Step 1: Find the prime factorization of 4996

4996 = 2 x 2 x 1249

Step 2: Find the prime factorization of 4997

4997 = 19 x 263

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4996 and 4997 is 1