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Greatest Common Factor of 192 and 199

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 192, 199 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 192 and 199 is 1.

GCF(192,199) = 1

GCF of 192 and 199

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

GCF of:
and

Greatest Common Factor of 192 and 199 by Prime factorization method

Prime Factorization of 192


2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 192 are 2,3. Prime factorization of 192 in exponential form is:

192 = 26×31

Prime Factorization of 199


199 199
1

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

199 = 1991

∴ So by taking common prime factors GCF of 192 and 199 is 1

Greatest Common Factor of 192 and 199 by matching factors method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors and prime factorization of 192 and 199. The biggest common factor number is the GCF number.
So the greatest common factor 192 and 199 is 1.

Also check out the Least Common Multiple of 192 and 199

Properties of GCF 192 and 199

(i) The GCF of 192 and 199 is associative

GCF of 192 and 199 = GCF of 199 and 192

Frequently Asked Questions on GCF of 192 and 199

1. What is the GCF of 192 and 199?

Answer: GCF of 192 and 199 is 1.

2. What are the Factors of 192?

Answer: Factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192. There are 14 integers that are factors of 192. The greatest factor of 192 is 192.

3. What are the Factors of 199?

Answer: Factors of 199 are 1, 199. There are 2 integers that are factors of 199. The greatest factor of 199 is 199.

4. How to Find the GCF of 192 and 199?

Answer:

Greatest Common Factor of 192 and 199 = 1

Step 1: Find the prime factorization of 192

192 = 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 199

199 = 199

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 192 and 199 is 1