Greatest Common Factor of 1079 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 1079, 1084 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1079 and 1084 is 1.

GCF(1079,1084) = 1

GCF of 1079 and 1084

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

GCF of:
and

Greatest Common Factor of 1079 and 1084

GCF of 1079 and 1084 is 1

Prime Factorization of 1079


13 1079
83 83
1

Prime factors of 1079 are 13,83. Prime factorization of 1079 in exponential form is:

1079 = 131×831

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 1079 and 1084 is 1

Greatest Common Factor of 1079 and 1084 by matching factors method

Factors of 1079

List of positive integer factors of 1079 that divides 1079 without a remainder.

1,13,83,1079

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 1079 and 1084. The biggest common factor number is the GCF number.
So the greatest common factor 1079 and 1084 is 1.

Also check out the Least Common Multiple of 1079 and 1084

Properties of GCF 1079 and 1084

(i) The GCF of 1079 and 1084 is associative

GCF of 1079 and 1084 = GCF of 1084 and 1079

Related Greatest Common Factor of 1079

Related Greatest Common Factor of 1084

Frequently Asked Questions on GCF of 1079 and 1084

1. What is the GCF of 1079 and 1084?

Answer: GCF of 1079 and 1084 is 1.

2. What are the Factors of 1079?

Answer: Factors of 1079 are 1, 13, 83, 1079. There are 4 integers that are factors of 1079. The greatest factor of 1079 is 1079.

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 1079 and 1084?

Answer:

Greatest Common Factor of 1079 and 1084 = 1

Step 1: Find the prime factorization of 1079

1079 = 13 x 83

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 = = 1

Step 4: Therefore, the greatest common factor of 1079 and 1084 is 1