Greatest Common Factor of 2021 and 2027

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

• Greatest Common Factor of 2021 and 2027 by prime factorization method
• Greatest Common Factor of 2021 and 2027 by matching factors method

Prime Factorization of 2021

Prime factors of 2021 are 43,47. Prime factorization of 2021 in exponential form is:

2021 = 43¹×47¹

Prime Factorization of 2027

Prime factors of 2027 are 2027. Prime factorization of 2027 in exponential form is:

2027 = 2027¹

∴ So by taking common prime factors GCF of 2021 and 2027 is 1

Factors of 2021

List of positive integer factors of 2021 that divides 2021 without a remainder.

1,43,47,2021

Factors of 2027

List of positive integer factors of 2027 that divides 2027 without a remainder.

1,2027

Greatest Common Factor

We found the factors and prime factorization of 2021 and 2027. The biggest common factor number is the GCF number.
So the greatest common factor 2021 and 2027 is 1.

Also check out the Least Common Multiple of 2021 and 2027

(i) The GCF of 2021 and 2027 is associative

GCF of 2021 and 2027 = GCF of 2027 and 2021

1. What is the GCF of 2021 and 2027?

Answer: GCF of 2021 and 2027 is 1.

2. What are the Factors of 2021?

Answer: Factors of 2021 are 1, 43, 47, 2021. There are 4 integers that are factors of 2021. The greatest factor of 2021 is 2021.

3. What are the Factors of 2027?

Answer: Factors of 2027 are 1, 2027. There are 2 integers that are factors of 2027. The greatest factor of 2027 is 2027.

4. How to Find the GCF of 2021 and 2027?

Answer:

Greatest Common Factor of 2021 and 2027 = 1

Step 1: Find the prime factorization of 2021

2021 = 43 x 47

Step 2: Find the prime factorization of 2027

2027 = 2027

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 2021 and 2027 is 1