Greatest Common Factor of 42001 and 42005
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 42001, 42005 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 42001 and 42005 is 1.
GCF(42001,42005) = 1
GCF of 42001 and 42005
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 42001 and 42005 by prime factorization method
- Greatest Common Factor of 42001 and 42005 by matching factors method
GCF of 42001 and 42005 is 1
Prime Factorization of 42001
| 97 | 42001 |
| 433 | 433 |
| 1 |
Prime factors of 42001 are 97,433. Prime factorization of 42001 in exponential form is:
42001 = 971×4331
Prime Factorization of 42005
| 5 | 42005 |
| 31 | 8401 |
| 271 | 271 |
| 1 |
Prime factors of 42005 are 5,31,271. Prime factorization of 42005 in exponential form is:
42005 = 51×311×2711
∴ So by taking common prime factors GCF of 42001 and 42005 is 1
Greatest Common Factor of 42001 and 42005 by matching factors method
Factors of 42001
List of positive integer factors of 42001 that divides 42001 without a remainder.
1,97,433,42001
Factors of 42005
List of positive integer factors of 42005 that divides 42005 without a remainder.
1,5,31,155,271,1355,8401,42005
Greatest Common Factor
We found the factors and prime factorization of 42001 and 42005. The biggest common factor number is the GCF number.
So the greatest common factor 42001 and 42005 is 1.
Also check out the Least Common Multiple of 42001 and 42005
Properties of GCF 42001 and 42005
(i) The GCF of 42001 and 42005 is associative
GCF of 42001 and 42005 = GCF of 42005 and 42001
Related Greatest Common Factor of 42001
Related Greatest Common Factor of 42005
Frequently Asked Questions on GCF of 42001 and 42005
1. What is the GCF of 42001 and 42005?
Answer: GCF of 42001 and 42005 is 1.
2. What are the Factors of 42001?
Answer: Factors of 42001 are 1, 97, 433, 42001. There are 4 integers that are factors of 42001. The greatest factor of 42001 is 42001.
3. What are the Factors of 42005?
Answer: Factors of 42005 are 1, 5, 31, 155, 271, 1355, 8401, 42005. There are 8 integers that are factors of 42005. The greatest factor of 42005 is 42005.
4. How to Find the GCF of 42001 and 42005?
Answer:
Greatest Common Factor of 42001 and 42005 = 1
Step 1: Find the prime factorization of 42001
42001 = 97 x 433
Step 2: Find the prime factorization of 42005
42005 = 5 x 31 x 271
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 42001 and 42005 is 1