Greatest Common Factor of 2189 and 2197

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 2189, 2197 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2189 and 2197 is 1.

GCF(2189,2197) = 1

GCF of 2189 and 2197

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

GCF of:
and

Greatest Common Factor of 2189 and 2197

GCF of 2189 and 2197 is 1

Prime Factorization of 2189


11 2189
199 199
1

Prime factors of 2189 are 11,199. Prime factorization of 2189 in exponential form is:

2189 = 111×1991

Prime Factorization of 2197


13 2197
13 169
13 13
1

Prime factors of 2197 are 13. Prime factorization of 2197 in exponential form is:

2197 = 133

∴ So by taking common prime factors GCF of 2189 and 2197 is 1

Greatest Common Factor of 2189 and 2197 by matching factors method

Factors of 2189

List of positive integer factors of 2189 that divides 2189 without a remainder.

1,11,199,2189

Factors of 2197

List of positive integer factors of 2197 that divides 2197 without a remainder.

1,13,169,2197

Greatest Common Factor

We found the factors and prime factorization of 2189 and 2197. The biggest common factor number is the GCF number.
So the greatest common factor 2189 and 2197 is 1.

Also check out the Least Common Multiple of 2189 and 2197

Properties of GCF 2189 and 2197

(i) The GCF of 2189 and 2197 is associative

GCF of 2189 and 2197 = GCF of 2197 and 2189

Related Greatest Common Factor of 2189

Related Greatest Common Factor of 2197

Frequently Asked Questions on GCF of 2189 and 2197

1. What is the GCF of 2189 and 2197?

Answer: GCF of 2189 and 2197 is 1.

2. What are the Factors of 2189?

Answer: Factors of 2189 are 1, 11, 199, 2189. There are 4 integers that are factors of 2189. The greatest factor of 2189 is 2189.

3. What are the Factors of 2197?

Answer: Factors of 2197 are 1, 13, 169, 2197. There are 4 integers that are factors of 2197. The greatest factor of 2197 is 2197.

4. How to Find the GCF of 2189 and 2197?

Answer:

Greatest Common Factor of 2189 and 2197 = 1

Step 1: Find the prime factorization of 2189

2189 = 11 x 199

Step 2: Find the prime factorization of 2197

2197 = 13 x 13 x 13

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 2189 and 2197 is 1