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Greatest Common Factor of 189 and 190

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 189, 190 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 189 and 190 is 1.

GCF(189,190) = 1

GCF of 189 and 190

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

GCF of:
and

Greatest Common Factor of 189 and 190 by Prime factorization method

Prime Factorization of 189


3 189
3 63
3 21
7 7
1

Prime factors of 189 are 3,7. Prime factorization of 189 in exponential form is:

189 = 33×71

Prime Factorization of 190


2 190
5 95
19 19
1

Prime factors of 190 are 2,5,19. Prime factorization of 190 in exponential form is:

190 = 21×51×191

∴ So by taking common prime factors GCF of 189 and 190 is 1

Greatest Common Factor of 189 and 190 by matching factors method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors and prime factorization of 189 and 190. The biggest common factor number is the GCF number.
So the greatest common factor 189 and 190 is 1.

Also check out the Least Common Multiple of 189 and 190

Properties of GCF 189 and 190

(i) The GCF of 189 and 190 is associative

GCF of 189 and 190 = GCF of 190 and 189

Frequently Asked Questions on GCF of 189 and 190

1. What is the GCF of 189 and 190?

Answer: GCF of 189 and 190 is 1.

2. What are the Factors of 189?

Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.

3. What are the Factors of 190?

Answer: Factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190. There are 8 integers that are factors of 190. The greatest factor of 190 is 190.

4. How to Find the GCF of 189 and 190?

Answer:

Greatest Common Factor of 189 and 190 = 1

Step 1: Find the prime factorization of 189

189 = 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 190

190 = 2 x 5 x 19

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 189 and 190 is 1