Greatest Common Factor of 1076 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 1076, 1084 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1076 and 1084 is 4.

GCF(1076,1084) = 4

GCF of 1076 and 1084

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

GCF of:
and

Greatest Common Factor of 1076 and 1084

GCF of 1076 and 1084 is 4

Prime Factorization of 1076


2 1076
2 538
269 269
1

Prime factors of 1076 are 2,269. Prime factorization of 1076 in exponential form is:

1076 = 22×2691

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 1076 and 1084 is 4

Greatest Common Factor of 1076 and 1084 by matching factors method

Factors of 1076

List of positive integer factors of 1076 that divides 1076 without a remainder.

1,2,4,269,538,1076

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 1076 and 1084. The biggest common factor number is the GCF number.
So the greatest common factor 1076 and 1084 is 4.

Also check out the Least Common Multiple of 1076 and 1084

Properties of GCF 1076 and 1084

(i) The GCF of 1076 and 1084 is associative

GCF of 1076 and 1084 = GCF of 1084 and 1076

Related Greatest Common Factor of 1076

Related Greatest Common Factor of 1084

Frequently Asked Questions on GCF of 1076 and 1084

1. What is the GCF of 1076 and 1084?

Answer: GCF of 1076 and 1084 is 4.

2. What are the Factors of 1076?

Answer: Factors of 1076 are 1, 2, 4, 269, 538, 1076. There are 6 integers that are factors of 1076. The greatest factor of 1076 is 1076.

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 1076 and 1084?

Answer:

Greatest Common Factor of 1076 and 1084 = 4

Step 1: Find the prime factorization of 1076

1076 = 2 x 2 x 269

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 1076 and 1084 is 4