Greatest Common Factor of 1031 and 1037

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

• Greatest Common Factor of 1031 and 1037 by prime factorization method
• Greatest Common Factor of 1031 and 1037 by matching factors method

Prime Factorization of 1031

Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:

1031 = 1031¹

Prime Factorization of 1037

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

1037 = 17¹×61¹

∴ So by taking common prime factors GCF of 1031 and 1037 is 1

Factors of 1031

List of positive integer factors of 1031 that divides 1031 without a remainder.

1,1031

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 1031 and 1037. The biggest common factor number is the GCF number.
So the greatest common factor 1031 and 1037 is 1.

Also check out the Least Common Multiple of 1031 and 1037

(i) The GCF of 1031 and 1037 is associative

GCF of 1031 and 1037 = GCF of 1037 and 1031

1. What is the GCF of 1031 and 1037?

Answer: GCF of 1031 and 1037 is 1.

2. What are the Factors of 1031?

Answer: Factors of 1031 are 1, 1031. There are 2 integers that are factors of 1031. The greatest factor of 1031 is 1031.

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 1031 and 1037?

Answer:

Greatest Common Factor of 1031 and 1037 = 1

Step 1: Find the prime factorization of 1031

1031 = 1031

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 1031 and 1037 is 1