Greatest Common Factor of 121 and 128

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 121, 128 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 121 and 128 is 1.

GCF(121,128) = 1

GCF of 121 and 128

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

GCF of:
and

Greatest Common Factor of 121 and 128

GCF of 121 and 128 is 1

Prime Factorization of 121


11 121
11 11
1

Prime factors of 121 are 11. Prime factorization of 121 in exponential form is:

121 = 112

Prime Factorization of 128


2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 128 are 2.Prime factorization of 128 in exponential form is:

128 = 27

∴ So by taking common prime factors GCF of 121 and 128 is 1

Greatest Common Factor of 121 and 128 by matching factors method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors and prime factorization of 121 and 128. The biggest common factor number is the GCF number.
So the greatest common factor 121 and 128 is 1.

Also check out the Least Common Multiple of 121 and 128

Properties of GCF 121 and 128

(i) The GCF of 121 and 128 is associative

GCF of 121 and 128 = GCF of 128 and 121

Related Greatest Common Factor of 121

Related Greatest Common Factor of 128

Frequently Asked Questions on GCF of 121 and 128

1. What is the GCF of 121 and 128?

Answer: GCF of 121 and 128 is 1.

2. What are the Factors of 121?

Answer: Factors of 121 are 1, 11, 121. There are 3 integers that are factors of 121. The greatest factor of 121 is 121.

3. What are the Factors of 128?

Answer: Factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128. There are 8 integers that are factors of 128. The greatest factor of 128 is 128.

4. How to Find the GCF of 121 and 128?

Answer:

Greatest Common Factor of 121 and 128 = 1

Step 1: Find the prime factorization of 121

121 = 11 x 11

Step 2: Find the prime factorization of 128

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2

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 121 and 128 is 1