Greatest Common Factor of 1072 and 1076

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, 1076 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1072 and 1076 is 4.

GCF(1072,1076) = 4

GCF of 1072 and 1076

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

GCF of:
and

Greatest Common Factor of 1072 and 1076

GCF of 1072 and 1076 is 4

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 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

∴ So by taking common prime factors GCF of 1072 and 1076 is 4

Greatest Common Factor of 1072 and 1076 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 1076

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

1,2,4,269,538,1076

Greatest Common Factor

We found the factors and prime factorization of 1072 and 1076. The biggest common factor number is the GCF number.
So the greatest common factor 1072 and 1076 is 4.

Also check out the Least Common Multiple of 1072 and 1076

Properties of GCF 1072 and 1076

(i) The GCF of 1072 and 1076 is associative

GCF of 1072 and 1076 = GCF of 1076 and 1072

Related Greatest Common Factor of 1072

Related Greatest Common Factor of 1076

Frequently Asked Questions on GCF of 1072 and 1076

1. What is the GCF of 1072 and 1076?

Answer: GCF of 1072 and 1076 is 4.

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 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.

4. How to Find the GCF of 1072 and 1076?

Answer:

Greatest Common Factor of 1072 and 1076 = 4

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 1076

1076 = 2 x 2 x 269

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 1072 and 1076 is 4