Greatest Common Factor of 1078 and 1084

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 1078, 1084 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1078 and 1084 is 2.

GCF(1078,1084) = 2

GCF of 1078 and 1084

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

GCF of:
and

Greatest Common Factor of 1078 and 1084

GCF of 1078 and 1084 is 2

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

Prime Factorization of 1084


2 1084
2 542
271 271
1

Prime factors of 1084 are 2,271. Prime factorization of 1084 in exponential form is:

1084 = 22×2711

∴ So by taking common prime factors GCF of 1078 and 1084 is 2

Greatest Common Factor of 1078 and 1084 by matching factors method

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

Factors of 1084

List of positive integer factors of 1084 that divides 1084 without a remainder.

1,2,4,271,542,1084

Greatest Common Factor

We found the factors and prime factorization of 1078 and 1084. The biggest common factor number is the GCF number.
So the greatest common factor 1078 and 1084 is 2.

Also check out the Least Common Multiple of 1078 and 1084

Properties of GCF 1078 and 1084

(i) The GCF of 1078 and 1084 is associative

GCF of 1078 and 1084 = GCF of 1084 and 1078

Related Greatest Common Factor of 1078

Related Greatest Common Factor of 1084

Frequently Asked Questions on GCF of 1078 and 1084

1. What is the GCF of 1078 and 1084?

Answer: GCF of 1078 and 1084 is 2.

2. 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.

3. What are the Factors of 1084?

Answer: Factors of 1084 are 1, 2, 4, 271, 542, 1084. There are 6 integers that are factors of 1084. The greatest factor of 1084 is 1084.

4. How to Find the GCF of 1078 and 1084?

Answer:

Greatest Common Factor of 1078 and 1084 = 2

Step 1: Find the prime factorization of 1078

1078 = 2 x 7 x 7 x 11

Step 2: Find the prime factorization of 1084

1084 = 2 x 2 x 271

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1078 and 1084 is 2