Greatest Common Factor of 4997 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 4997, 4998 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4997 and 4998 is 1.

GCF(4997,4998) = 1

GCF of 4997 and 4998

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

GCF of:
and

Greatest Common Factor of 4997 and 4998

GCF of 4997 and 4998 is 1

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

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 4997 and 4998 is 1

Greatest Common Factor of 4997 and 4998 by matching factors method

Factors of 4997

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

1,19,263,4997

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 4997 and 4998. The biggest common factor number is the GCF number.
So the greatest common factor 4997 and 4998 is 1.

Also check out the Least Common Multiple of 4997 and 4998

Properties of GCF 4997 and 4998

(i) The GCF of 4997 and 4998 is associative

GCF of 4997 and 4998 = GCF of 4998 and 4997

Related Greatest Common Factor of 4997

Related Greatest Common Factor of 4998

Frequently Asked Questions on GCF of 4997 and 4998

1. What is the GCF of 4997 and 4998?

Answer: GCF of 4997 and 4998 is 1.

2. 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.

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 4997 and 4998?

Answer:

Greatest Common Factor of 4997 and 4998 = 1

Step 1: Find the prime factorization of 4997

4997 = 19 x 263

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 = = 1

Step 4: Therefore, the greatest common factor of 4997 and 4998 is 1