Greatest Common Factor of 121 and 123

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

• Greatest Common Factor of 121 and 123 by prime factorization method
• Greatest Common Factor of 121 and 123 by matching factors method

Prime Factorization of 121

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

121 = 11²

Prime Factorization of 123

Prime factors of 123 are 3.Prime factorization of 123 in exponential form is:

123 = 3¹×41¹

∴ So by taking common prime factors GCF of 121 and 123 is 1

Factors of 121

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

1,11,121

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors and prime factorization of 121 and 123. The biggest common factor number is the GCF number.
So the greatest common factor 121 and 123 is 1.

Also check out the Least Common Multiple of 121 and 123

(i) The GCF of 121 and 123 is associative

GCF of 121 and 123 = GCF of 123 and 121

1. What is the GCF of 121 and 123?

Answer: GCF of 121 and 123 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 123?

Answer: Factors of 123 are 1, 3, 41, 123. There are 4 integers that are factors of 123. The greatest factor of 123 is 123.

4. How to Find the GCF of 121 and 123?

Answer:

Greatest Common Factor of 121 and 123 = 1

Step 1: Find the prime factorization of 121

121 = 11 x 11

Step 2: Find the prime factorization of 123

123 = 3 x 41

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 123 is 1