Greatest Common Factor of 69 and 71

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

• Greatest Common Factor of 69 and 71 by prime factorization method
• Greatest Common Factor of 69 and 71 by matching factors method

Prime Factorization of 69

Prime factors of 69 are 3,23. Prime factorization of 69 in exponential form is:

69 = 3¹×23¹

Prime Factorization of 71

Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:

71 = 71¹

∴ So by taking common prime factors GCF of 69 and 71 is 1

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors and prime factorization of 69 and 71. The biggest common factor number is the GCF number.
So the greatest common factor 69 and 71 is 1.

Also check out the Least Common Multiple of 69 and 71

(i) The GCF of 69 and 71 is associative

GCF of 69 and 71 = GCF of 71 and 69

1. What is the GCF of 69 and 71?

Answer: GCF of 69 and 71 is 1.

2. What are the Factors of 69?

Answer: Factors of 69 are 1, 3, 23, 69. There are 4 integers that are factors of 69. The greatest factor of 69 is 69.

3. What are the Factors of 71?

Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.

4. How to Find the GCF of 69 and 71?

Answer:

Greatest Common Factor of 69 and 71 = 1

Step 1: Find the prime factorization of 69

69 = 3 x 23

Step 2: Find the prime factorization of 71

71 = 71

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 69 and 71 is 1