Greatest Common Factor of 42049 and 42055

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 42049, 42055 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42049 and 42055 is 1.

GCF(42049,42055) = 1

GCF of 42049 and 42055

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

GCF of:
and

Greatest Common Factor of 42049 and 42055

GCF of 42049 and 42055 is 1

Prime Factorization of 42049


7 42049
6007 6007
1

Prime factors of 42049 are 7,6007. Prime factorization of 42049 in exponential form is:

42049 = 71×60071

Prime Factorization of 42055


5 42055
13 8411
647 647
1

Prime factors of 42055 are 5,13,647. Prime factorization of 42055 in exponential form is:

42055 = 51×131×6471

∴ So by taking common prime factors GCF of 42049 and 42055 is 1

Greatest Common Factor of 42049 and 42055 by matching factors method

Factors of 42049

List of positive integer factors of 42049 that divides 42049 without a remainder.

1,7,6007,42049

Factors of 42055

List of positive integer factors of 42055 that divides 42055 without a remainder.

1,5,13,65,647,3235,8411,42055

Greatest Common Factor

We found the factors and prime factorization of 42049 and 42055. The biggest common factor number is the GCF number.
So the greatest common factor 42049 and 42055 is 1.

Also check out the Least Common Multiple of 42049 and 42055

Properties of GCF 42049 and 42055

(i) The GCF of 42049 and 42055 is associative

GCF of 42049 and 42055 = GCF of 42055 and 42049

Related Greatest Common Factor of 42049

Related Greatest Common Factor of 42055

Frequently Asked Questions on GCF of 42049 and 42055

1. What is the GCF of 42049 and 42055?

Answer: GCF of 42049 and 42055 is 1.

2. What are the Factors of 42049?

Answer: Factors of 42049 are 1, 7, 6007, 42049. There are 4 integers that are factors of 42049. The greatest factor of 42049 is 42049.

3. What are the Factors of 42055?

Answer: Factors of 42055 are 1, 5, 13, 65, 647, 3235, 8411, 42055. There are 8 integers that are factors of 42055. The greatest factor of 42055 is 42055.

4. How to Find the GCF of 42049 and 42055?

Answer:

Greatest Common Factor of 42049 and 42055 = 1

Step 1: Find the prime factorization of 42049

42049 = 7 x 6007

Step 2: Find the prime factorization of 42055

42055 = 5 x 13 x 647

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 42049 and 42055 is 1