Greatest Common Factor of 2018 and 2026

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

• Greatest Common Factor of 2018 and 2026 by prime factorization method
• Greatest Common Factor of 2018 and 2026 by matching factors method

Prime Factorization of 2018

Prime factors of 2018 are 2,1009. Prime factorization of 2018 in exponential form is:

2018 = 2¹×1009¹

Prime Factorization of 2026

Prime factors of 2026 are 2,1013. Prime factorization of 2026 in exponential form is:

2026 = 2¹×1013¹

∴ So by taking common prime factors GCF of 2018 and 2026 is 2

Factors of 2018

List of positive integer factors of 2018 that divides 2018 without a remainder.

1,2,1009,2018

Factors of 2026

List of positive integer factors of 2026 that divides 2026 without a remainder.

1,2,1013,2026

Greatest Common Factor

We found the factors and prime factorization of 2018 and 2026. The biggest common factor number is the GCF number.
So the greatest common factor 2018 and 2026 is 2.

Also check out the Least Common Multiple of 2018 and 2026

(i) The GCF of 2018 and 2026 is associative

GCF of 2018 and 2026 = GCF of 2026 and 2018

1. What is the GCF of 2018 and 2026?

Answer: GCF of 2018 and 2026 is 2.

2. What are the Factors of 2018?

Answer: Factors of 2018 are 1, 2, 1009, 2018. There are 4 integers that are factors of 2018. The greatest factor of 2018 is 2018.

3. What are the Factors of 2026?

Answer: Factors of 2026 are 1, 2, 1013, 2026. There are 4 integers that are factors of 2026. The greatest factor of 2026 is 2026.

4. How to Find the GCF of 2018 and 2026?

Answer:

Greatest Common Factor of 2018 and 2026 = 2

Step 1: Find the prime factorization of 2018

2018 = 2 x 1009

Step 2: Find the prime factorization of 2026

2026 = 2 x 1013

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 2018 and 2026 is 2