Greatest Common Factor of 1072 and 1074

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 1072, 1074 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1072 and 1074 is 2.

GCF(1072,1074) = 2

GCF of 1072 and 1074

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

GCF of:
and

Greatest Common Factor of 1072 and 1074

GCF of 1072 and 1074 is 2

Prime Factorization of 1072


2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 1072 are 2,67. Prime factorization of 1072 in exponential form is:

1072 = 24×671

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

∴ So by taking common prime factors GCF of 1072 and 1074 is 2

Greatest Common Factor of 1072 and 1074 by matching factors method

Factors of 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1,2,4,8,16,67,134,268,536,1072

Factors of 1074

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

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

Greatest Common Factor

We found the factors and prime factorization of 1072 and 1074. The biggest common factor number is the GCF number.
So the greatest common factor 1072 and 1074 is 2.

Also check out the Least Common Multiple of 1072 and 1074

Properties of GCF 1072 and 1074

(i) The GCF of 1072 and 1074 is associative

GCF of 1072 and 1074 = GCF of 1074 and 1072

Related Greatest Common Factor of 1072

Related Greatest Common Factor of 1074

Frequently Asked Questions on GCF of 1072 and 1074

1. What is the GCF of 1072 and 1074?

Answer: GCF of 1072 and 1074 is 2.

2. What are the Factors of 1072?

Answer: Factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072. There are 10 integers that are factors of 1072. The greatest factor of 1072 is 1072.

3. 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.

4. How to Find the GCF of 1072 and 1074?

Answer:

Greatest Common Factor of 1072 and 1074 = 2

Step 1: Find the prime factorization of 1072

1072 = 2 x 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 1074

1074 = 2 x 3 x 179

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 1072 and 1074 is 2