Greatest Common Factor of 1037 and 1039

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

• Greatest Common Factor of 1037 and 1039 by prime factorization method
• Greatest Common Factor of 1037 and 1039 by matching factors method

Prime Factorization of 1037

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

1037 = 17¹×61¹

Prime Factorization of 1039

Prime factors of 1039 are 1039. Prime factorization of 1039 in exponential form is:

1039 = 1039¹

∴ So by taking common prime factors GCF of 1037 and 1039 is 1

Factors of 1037

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

1,17,61,1037

Factors of 1039

List of positive integer factors of 1039 that divides 1039 without a remainder.

1,1039

Greatest Common Factor

We found the factors and prime factorization of 1037 and 1039. The biggest common factor number is the GCF number.
So the greatest common factor 1037 and 1039 is 1.

Also check out the Least Common Multiple of 1037 and 1039

(i) The GCF of 1037 and 1039 is associative

GCF of 1037 and 1039 = GCF of 1039 and 1037

1. What is the GCF of 1037 and 1039?

Answer: GCF of 1037 and 1039 is 1.

2. 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.

3. What are the Factors of 1039?

Answer: Factors of 1039 are 1, 1039. There are 2 integers that are factors of 1039. The greatest factor of 1039 is 1039.

4. How to Find the GCF of 1037 and 1039?

Answer:

Greatest Common Factor of 1037 and 1039 = 1

Step 1: Find the prime factorization of 1037

1037 = 17 x 61

Step 2: Find the prime factorization of 1039

1039 = 1039

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 1037 and 1039 is 1