Greatest Common Factor of 68 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 68, 71 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 68 and 71 is 1.

GCF(68,71) = 1

GCF of 68 and 71

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

GCF of:
and

Greatest Common Factor of 68 and 71

GCF of 68 and 71 is 1

Prime Factorization of 68


2 68
2 34
17 17
1

Prime factors of 68 are 2,17. Prime factorization of 68 in exponential form is:

68 = 22×171

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 68 and 71 is 1

Greatest Common Factor of 68 and 71 by matching factors method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

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 68 and 71. The biggest common factor number is the GCF number.
So the greatest common factor 68 and 71 is 1.

Also check out the Least Common Multiple of 68 and 71

Properties of GCF 68 and 71

(i) The GCF of 68 and 71 is associative

GCF of 68 and 71 = GCF of 71 and 68

Related Greatest Common Factor of 68

Related Greatest Common Factor of 71

Frequently Asked Questions on GCF of 68 and 71

1. What is the GCF of 68 and 71?

Answer: GCF of 68 and 71 is 1.

2. What are the Factors of 68?

Answer: Factors of 68 are 1, 2, 4, 17, 34, 68. There are 6 integers that are factors of 68. The greatest factor of 68 is 68.

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 68 and 71?

Answer:

Greatest Common Factor of 68 and 71 = 1

Step 1: Find the prime factorization of 68

68 = 2 x 2 x 17

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 68 and 71 is 1