Greatest Common Factor of 123 and 127

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

• Greatest Common Factor of 123 and 127 by prime factorization method
• Greatest Common Factor of 123 and 127 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 127

Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:

127 = 127¹

∴ So by taking common prime factors GCF of 123 and 127 is 1

Factors of 123

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

1,3,41,123

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Greatest Common Factor

We found the factors and prime factorization of 123 and 127. The biggest common factor number is the GCF number.
So the greatest common factor 123 and 127 is 1.

Also check out the Least Common Multiple of 123 and 127

(i) The GCF of 123 and 127 is associative

GCF of 123 and 127 = GCF of 127 and 123

1. What is the GCF of 123 and 127?

Answer: GCF of 123 and 127 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 127?

Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.

4. How to Find the GCF of 123 and 127?

Answer:

Greatest Common Factor of 123 and 127 = 1

Step 1: Find the prime factorization of 123

123 = 3 x 41

Step 2: Find the prime factorization of 127

127 = 127

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 127 is 1