Greatest Common Factor of 66 and 71

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 66, 71 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 66 and 71 is 1.

GCF(66,71) = 1

GCF of 66 and 71

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

GCF of:
and

Greatest Common Factor of 66 and 71

GCF of 66 and 71 is 1

Prime Factorization of 66


2 66
3 33
11 11
1

Prime factors of 66 are 2,3,11. Prime factorization of 66 in exponential form is:

66 = 21×31×111

Prime Factorization of 71


71 71
1

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

71 = 711

∴ So by taking common prime factors GCF of 66 and 71 is 1

Greatest Common Factor of 66 and 71 by matching factors method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 66 and 71. The biggest common factor number is the GCF number.
So the greatest common factor 66 and 71 is 1.

Also check out the Least Common Multiple of 66 and 71

Properties of GCF 66 and 71

(i) The GCF of 66 and 71 is associative

GCF of 66 and 71 = GCF of 71 and 66

Related Greatest Common Factor of 66

Related Greatest Common Factor of 71

Frequently Asked Questions on GCF of 66 and 71

1. What is the GCF of 66 and 71?

Answer: GCF of 66 and 71 is 1.

2. What are the Factors of 66?

Answer: Factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66. There are 8 integers that are factors of 66. The greatest factor of 66 is 66.

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 66 and 71?

Answer:

Greatest Common Factor of 66 and 71 = 1

Step 1: Find the prime factorization of 66

66 = 2 x 3 x 11

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 66 and 71 is 1