Greatest Common Factor of 1054 and 1059

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, 1059 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1054 and 1059 is 1.

GCF(1054,1059) = 1

GCF of 1054 and 1059

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

GCF of:
and

Greatest Common Factor of 1054 and 1059

GCF of 1054 and 1059 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 1059


3 1059
353 353
1

Prime factors of 1059 are 3,353. Prime factorization of 1059 in exponential form is:

1059 = 31×3531

∴ So by taking common prime factors GCF of 1054 and 1059 is 1

Greatest Common Factor of 1054 and 1059 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 1059

List of positive integer factors of 1059 that divides 1059 without a remainder.

1,3,353,1059

Greatest Common Factor

We found the factors and prime factorization of 1054 and 1059. The biggest common factor number is the GCF number.
So the greatest common factor 1054 and 1059 is 1.

Also check out the Least Common Multiple of 1054 and 1059

Properties of GCF 1054 and 1059

(i) The GCF of 1054 and 1059 is associative

GCF of 1054 and 1059 = GCF of 1059 and 1054

Related Greatest Common Factor of 1054

Related Greatest Common Factor of 1059

Frequently Asked Questions on GCF of 1054 and 1059

1. What is the GCF of 1054 and 1059?

Answer: GCF of 1054 and 1059 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 1059?

Answer: Factors of 1059 are 1, 3, 353, 1059. There are 4 integers that are factors of 1059. The greatest factor of 1059 is 1059.

4. How to Find the GCF of 1054 and 1059?

Answer:

Greatest Common Factor of 1054 and 1059 = 1

Step 1: Find the prime factorization of 1054

1054 = 2 x 17 x 31

Step 2: Find the prime factorization of 1059

1059 = 3 x 353

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 1059 is 1