Greatest Common Factor of 1030 and 1037

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 1030, 1037 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1030 and 1037 is 1.

GCF(1030,1037) = 1

GCF of 1030 and 1037

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

GCF of:
and

Greatest Common Factor of 1030 and 1037

GCF of 1030 and 1037 is 1

Prime Factorization of 1030


2 1030
5 515
103 103
1

Prime factors of 1030 are 2,5,103. Prime factorization of 1030 in exponential form is:

1030 = 21×51×1031

Prime Factorization of 1037


17 1037
61 61
1

Prime factors of 1037 are 17,61. Prime factorization of 1037 in exponential form is:

1037 = 171×611

∴ So by taking common prime factors GCF of 1030 and 1037 is 1

Greatest Common Factor of 1030 and 1037 by matching factors method

Factors of 1030

List of positive integer factors of 1030 that divides 1030 without a remainder.

1,2,5,10,103,206,515,1030

Factors of 1037

List of positive integer factors of 1037 that divides 1037 without a remainder.

1,17,61,1037

Greatest Common Factor

We found the factors and prime factorization of 1030 and 1037. The biggest common factor number is the GCF number.
So the greatest common factor 1030 and 1037 is 1.

Also check out the Least Common Multiple of 1030 and 1037

Properties of GCF 1030 and 1037

(i) The GCF of 1030 and 1037 is associative

GCF of 1030 and 1037 = GCF of 1037 and 1030

Related Greatest Common Factor of 1030

Related Greatest Common Factor of 1037

Frequently Asked Questions on GCF of 1030 and 1037

1. What is the GCF of 1030 and 1037?

Answer: GCF of 1030 and 1037 is 1.

2. What are the Factors of 1030?

Answer: Factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030. There are 8 integers that are factors of 1030. The greatest factor of 1030 is 1030.

3. What are the Factors of 1037?

Answer: Factors of 1037 are 1, 17, 61, 1037. There are 4 integers that are factors of 1037. The greatest factor of 1037 is 1037.

4. How to Find the GCF of 1030 and 1037?

Answer:

Greatest Common Factor of 1030 and 1037 = 1

Step 1: Find the prime factorization of 1030

1030 = 2 x 5 x 103

Step 2: Find the prime factorization of 1037

1037 = 17 x 61

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 1030 and 1037 is 1