Greatest Common Factor of 42022 and 42026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 42022, 42026 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42022 and 42026 is 2.

GCF(42022,42026) = 2

GCF of 42022 and 42026

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

GCF of:
and

Greatest Common Factor of 42022 and 42026

GCF of 42022 and 42026 is 2

Prime Factorization of 42022


2 42022
21011 21011
1

Prime factors of 42022 are 2,21011. Prime factorization of 42022 in exponential form is:

42022 = 21×210111

Prime Factorization of 42026


2 42026
21013 21013
1

Prime factors of 42026 are 2,21013. Prime factorization of 42026 in exponential form is:

42026 = 21×210131

∴ So by taking common prime factors GCF of 42022 and 42026 is 2

Greatest Common Factor of 42022 and 42026 by matching factors method

Factors of 42022

List of positive integer factors of 42022 that divides 42022 without a remainder.

1,2,21011,42022

Factors of 42026

List of positive integer factors of 42026 that divides 42026 without a remainder.

1,2,21013,42026

Greatest Common Factor

We found the factors and prime factorization of 42022 and 42026. The biggest common factor number is the GCF number.
So the greatest common factor 42022 and 42026 is 2.

Also check out the Least Common Multiple of 42022 and 42026

Properties of GCF 42022 and 42026

(i) The GCF of 42022 and 42026 is associative

GCF of 42022 and 42026 = GCF of 42026 and 42022

Related Greatest Common Factor of 42022

Related Greatest Common Factor of 42026

Frequently Asked Questions on GCF of 42022 and 42026

1. What is the GCF of 42022 and 42026?

Answer: GCF of 42022 and 42026 is 2.

2. What are the Factors of 42022?

Answer: Factors of 42022 are 1, 2, 21011, 42022. There are 4 integers that are factors of 42022. The greatest factor of 42022 is 42022.

3. What are the Factors of 42026?

Answer: Factors of 42026 are 1, 2, 21013, 42026. There are 4 integers that are factors of 42026. The greatest factor of 42026 is 42026.

4. How to Find the GCF of 42022 and 42026?

Answer:

Greatest Common Factor of 42022 and 42026 = 2

Step 1: Find the prime factorization of 42022

42022 = 2 x 21011

Step 2: Find the prime factorization of 42026

42026 = 2 x 21013

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 42022 and 42026 is 2