Euclid's Division Lemma Prime Factorisation Calculator Factors of a Number Calculator LCM Calculator GCF Calculator Factor Tree Calculator LCM of Decimals LCM of Fractions GCF of Decimals GCF of Fractions

Greatest Common Factor of 160 and 161

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 160, 161 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 160 and 161 is 1.

GCF(160,161) = 1

GCF of 160 and 161

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

GCF of:
and

Greatest Common Factor of 160 and 161 by Prime factorization method

Prime Factorization of 160


2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 160 are 2,5. Prime factorization of 160 in exponential form is:

160 = 25×51

Prime Factorization of 161


7 161
23 23
1

Prime factors of 161 are 7,23. Prime factorization of 161 in exponential form is:

161 = 71×231

∴ So by taking common prime factors GCF of 160 and 161 is 1

Greatest Common Factor of 160 and 161 by matching factors method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors and prime factorization of 160 and 161. The biggest common factor number is the GCF number.
So the greatest common factor 160 and 161 is 1.

Also check out the Least Common Multiple of 160 and 161

Properties of GCF 160 and 161

(i) The GCF of 160 and 161 is associative

GCF of 160 and 161 = GCF of 161 and 160

Frequently Asked Questions on GCF of 160 and 161

1. What is the GCF of 160 and 161?

Answer: GCF of 160 and 161 is 1.

2. What are the Factors of 160?

Answer: Factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160. There are 12 integers that are factors of 160. The greatest factor of 160 is 160.

3. What are the Factors of 161?

Answer: Factors of 161 are 1, 7, 23, 161. There are 4 integers that are factors of 161. The greatest factor of 161 is 161.

4. How to Find the GCF of 160 and 161?

Answer:

Greatest Common Factor of 160 and 161 = 1

Step 1: Find the prime factorization of 160

160 = 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 161

161 = 7 x 23

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 160 and 161 is 1