Greatest Common Factor of 1062 and 1067

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 1062, 1067 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1062 and 1067 is 1.

GCF(1062,1067) = 1

GCF of 1062 and 1067

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

GCF of:
and

Greatest Common Factor of 1062 and 1067

GCF of 1062 and 1067 is 1

Prime Factorization of 1062


2 1062
3 531
3 177
59 59
1

Prime factors of 1062 are 2,3,59. Prime factorization of 1062 in exponential form is:

1062 = 21×32×591

Prime Factorization of 1067


11 1067
97 97
1

Prime factors of 1067 are 11,97. Prime factorization of 1067 in exponential form is:

1067 = 111×971

∴ So by taking common prime factors GCF of 1062 and 1067 is 1

Greatest Common Factor of 1062 and 1067 by matching factors method

Factors of 1062

List of positive integer factors of 1062 that divides 1062 without a remainder.

1,2,3,6,9,18,59,118,177,354,531,1062

Factors of 1067

List of positive integer factors of 1067 that divides 1067 without a remainder.

1,11,97,1067

Greatest Common Factor

We found the factors and prime factorization of 1062 and 1067. The biggest common factor number is the GCF number.
So the greatest common factor 1062 and 1067 is 1.

Also check out the Least Common Multiple of 1062 and 1067

Properties of GCF 1062 and 1067

(i) The GCF of 1062 and 1067 is associative

GCF of 1062 and 1067 = GCF of 1067 and 1062

Related Greatest Common Factor of 1062

Related Greatest Common Factor of 1067

Frequently Asked Questions on GCF of 1062 and 1067

1. What is the GCF of 1062 and 1067?

Answer: GCF of 1062 and 1067 is 1.

2. What are the Factors of 1062?

Answer: Factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062. There are 12 integers that are factors of 1062. The greatest factor of 1062 is 1062.

3. What are the Factors of 1067?

Answer: Factors of 1067 are 1, 11, 97, 1067. There are 4 integers that are factors of 1067. The greatest factor of 1067 is 1067.

4. How to Find the GCF of 1062 and 1067?

Answer:

Greatest Common Factor of 1062 and 1067 = 1

Step 1: Find the prime factorization of 1062

1062 = 2 x 3 x 3 x 59

Step 2: Find the prime factorization of 1067

1067 = 11 x 97

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 1062 and 1067 is 1