Greatest Common Factor of 1074 and 1079

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 1074, 1079 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1074 and 1079 is 1.

GCF(1074,1079) = 1

GCF of 1074 and 1079

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

GCF of:
and

Greatest Common Factor of 1074 and 1079

GCF of 1074 and 1079 is 1

Prime Factorization of 1074


2 1074
3 537
179 179
1

Prime factors of 1074 are 2,3,179. Prime factorization of 1074 in exponential form is:

1074 = 21×31×1791

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

∴ So by taking common prime factors GCF of 1074 and 1079 is 1

Greatest Common Factor of 1074 and 1079 by matching factors method

Factors of 1074

List of positive integer factors of 1074 that divides 1074 without a remainder.

1,2,3,6,179,358,537,1074

Factors of 1079

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

1,13,83,1079

Greatest Common Factor

We found the factors and prime factorization of 1074 and 1079. The biggest common factor number is the GCF number.
So the greatest common factor 1074 and 1079 is 1.

Also check out the Least Common Multiple of 1074 and 1079

Properties of GCF 1074 and 1079

(i) The GCF of 1074 and 1079 is associative

GCF of 1074 and 1079 = GCF of 1079 and 1074

Related Greatest Common Factor of 1074

Related Greatest Common Factor of 1079

Frequently Asked Questions on GCF of 1074 and 1079

1. What is the GCF of 1074 and 1079?

Answer: GCF of 1074 and 1079 is 1.

2. What are the Factors of 1074?

Answer: Factors of 1074 are 1, 2, 3, 6, 179, 358, 537, 1074. There are 8 integers that are factors of 1074. The greatest factor of 1074 is 1074.

3. 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.

4. How to Find the GCF of 1074 and 1079?

Answer:

Greatest Common Factor of 1074 and 1079 = 1

Step 1: Find the prime factorization of 1074

1074 = 2 x 3 x 179

Step 2: Find the prime factorization of 1079

1079 = 13 x 83

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 1074 and 1079 is 1