Greatest Common Factor of 1071 and 1078

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 1071, 1078 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1071 and 1078 is 7.

GCF(1071,1078) = 7

GCF of 1071 and 1078

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

GCF of:
and

Greatest Common Factor of 1071 and 1078

GCF of 1071 and 1078 is 7

Prime Factorization of 1071


3 1071
3 357
7 119
17 17
1

Prime factors of 1071 are 3,7,17. Prime factorization of 1071 in exponential form is:

1071 = 32×71×171

Prime Factorization of 1078


2 1078
7 539
7 77
11 11
1

Prime factors of 1078 are 2,7,11. Prime factorization of 1078 in exponential form is:

1078 = 21×72×111

∴ So by taking common prime factors GCF of 1071 and 1078 is 7

Greatest Common Factor of 1071 and 1078 by matching factors method

Factors of 1071

List of positive integer factors of 1071 that divides 1071 without a remainder.

1,3,7,9,17,21,51,63,119,153,357,1071

Factors of 1078

List of positive integer factors of 1078 that divides 1078 without a remainder.

1,2,7,11,14,22,49,77,98,154,539,1078

Greatest Common Factor

We found the factors and prime factorization of 1071 and 1078. The biggest common factor number is the GCF number.
So the greatest common factor 1071 and 1078 is 7.

Also check out the Least Common Multiple of 1071 and 1078

Properties of GCF 1071 and 1078

(i) The GCF of 1071 and 1078 is associative

GCF of 1071 and 1078 = GCF of 1078 and 1071

Related Greatest Common Factor of 1071

Related Greatest Common Factor of 1078

Frequently Asked Questions on GCF of 1071 and 1078

1. What is the GCF of 1071 and 1078?

Answer: GCF of 1071 and 1078 is 7.

2. What are the Factors of 1071?

Answer: Factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071. There are 12 integers that are factors of 1071. The greatest factor of 1071 is 1071.

3. What are the Factors of 1078?

Answer: Factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078. There are 12 integers that are factors of 1078. The greatest factor of 1078 is 1078.

4. How to Find the GCF of 1071 and 1078?

Answer:

Greatest Common Factor of 1071 and 1078 = 7

Step 1: Find the prime factorization of 1071

1071 = 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 1078

1078 = 2 x 7 x 7 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 1071 and 1078 is 7