Greatest Common Factor of 1027 and 1033

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

• Greatest Common Factor of 1027 and 1033 by prime factorization method
• Greatest Common Factor of 1027 and 1033 by matching factors method

Prime Factorization of 1027

Prime factors of 1027 are 13,79. Prime factorization of 1027 in exponential form is:

1027 = 13¹×79¹

Prime Factorization of 1033

Prime factors of 1033 are 1033. Prime factorization of 1033 in exponential form is:

1033 = 1033¹

∴ So by taking common prime factors GCF of 1027 and 1033 is 1

Factors of 1027

List of positive integer factors of 1027 that divides 1027 without a remainder.

1,13,79,1027

Factors of 1033

List of positive integer factors of 1033 that divides 1033 without a remainder.

1,1033

Greatest Common Factor

We found the factors and prime factorization of 1027 and 1033. The biggest common factor number is the GCF number.
So the greatest common factor 1027 and 1033 is 1.

Also check out the Least Common Multiple of 1027 and 1033

(i) The GCF of 1027 and 1033 is associative

GCF of 1027 and 1033 = GCF of 1033 and 1027

1. What is the GCF of 1027 and 1033?

Answer: GCF of 1027 and 1033 is 1.

2. What are the Factors of 1027?

Answer: Factors of 1027 are 1, 13, 79, 1027. There are 4 integers that are factors of 1027. The greatest factor of 1027 is 1027.

3. What are the Factors of 1033?

Answer: Factors of 1033 are 1, 1033. There are 2 integers that are factors of 1033. The greatest factor of 1033 is 1033.

4. How to Find the GCF of 1027 and 1033?

Answer:

Greatest Common Factor of 1027 and 1033 = 1

Step 1: Find the prime factorization of 1027

1027 = 13 x 79

Step 2: Find the prime factorization of 1033

1033 = 1033

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 1027 and 1033 is 1