Greatest Common Factor of 1054 and 1061

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 1054, 1061 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1054 and 1061 is 1.

GCF(1054,1061) = 1

GCF of 1054 and 1061

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

GCF of:
and

Greatest Common Factor of 1054 and 1061

GCF of 1054 and 1061 is 1

Prime Factorization of 1054


2 1054
17 527
31 31
1

Prime factors of 1054 are 2,17,31. Prime factorization of 1054 in exponential form is:

1054 = 21×171×311

Prime Factorization of 1061


1061 1061
1

Prime factors of 1061 are 1061. Prime factorization of 1061 in exponential form is:

1061 = 10611

∴ So by taking common prime factors GCF of 1054 and 1061 is 1

Greatest Common Factor of 1054 and 1061 by matching factors method

Factors of 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1,2,17,31,34,62,527,1054

Factors of 1061

List of positive integer factors of 1061 that divides 1061 without a remainder.

1,1061

Greatest Common Factor

We found the factors and prime factorization of 1054 and 1061. The biggest common factor number is the GCF number.
So the greatest common factor 1054 and 1061 is 1.

Also check out the Least Common Multiple of 1054 and 1061

Properties of GCF 1054 and 1061

(i) The GCF of 1054 and 1061 is associative

GCF of 1054 and 1061 = GCF of 1061 and 1054

Related Greatest Common Factor of 1054

Related Greatest Common Factor of 1061

Frequently Asked Questions on GCF of 1054 and 1061

1. What is the GCF of 1054 and 1061?

Answer: GCF of 1054 and 1061 is 1.

2. What are the Factors of 1054?

Answer: Factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. There are 8 integers that are factors of 1054. The greatest factor of 1054 is 1054.

3. What are the Factors of 1061?

Answer: Factors of 1061 are 1, 1061. There are 2 integers that are factors of 1061. The greatest factor of 1061 is 1061.

4. How to Find the GCF of 1054 and 1061?

Answer:

Greatest Common Factor of 1054 and 1061 = 1

Step 1: Find the prime factorization of 1054

1054 = 2 x 17 x 31

Step 2: Find the prime factorization of 1061

1061 = 1061

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 1054 and 1061 is 1