Greatest Common Factor of 123 and 131

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

• Greatest Common Factor of 123 and 131 by prime factorization method
• Greatest Common Factor of 123 and 131 by matching factors method

Prime Factorization of 123

Prime factors of 123 are 3,41. Prime factorization of 123 in exponential form is:

123 = 3¹×41¹

Prime Factorization of 131

Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:

131 = 131¹

∴ So by taking common prime factors GCF of 123 and 131 is 1

Factors of 123

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

1,3,41,123

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors and prime factorization of 123 and 131. The biggest common factor number is the GCF number.
So the greatest common factor 123 and 131 is 1.

Also check out the Least Common Multiple of 123 and 131

(i) The GCF of 123 and 131 is associative

GCF of 123 and 131 = GCF of 131 and 123

1. What is the GCF of 123 and 131?

Answer: GCF of 123 and 131 is 1.

2. 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.

3. What are the Factors of 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

4. How to Find the GCF of 123 and 131?

Answer:

Greatest Common Factor of 123 and 131 = 1

Step 1: Find the prime factorization of 123

123 = 3 x 41

Step 2: Find the prime factorization of 131

131 = 131

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 123 and 131 is 1