Greatest Common Factor of 42025 and 42029

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 42025, 42029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 42025 and 42029 is 1.

GCF(42025,42029) = 1

GCF of 42025 and 42029

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

GCF of:
and

Greatest Common Factor of 42025 and 42029

GCF of 42025 and 42029 is 1

Prime Factorization of 42025


5 42025
5 8405
41 1681
41 41
1

Prime factors of 42025 are 5,41. Prime factorization of 42025 in exponential form is:

42025 = 52×412

Prime Factorization of 42029


13 42029
53 3233
61 61
1

Prime factors of 42029 are 13,53,61. Prime factorization of 42029 in exponential form is:

42029 = 131×531×611

∴ So by taking common prime factors GCF of 42025 and 42029 is 1

Greatest Common Factor of 42025 and 42029 by matching factors method

Factors of 42025

List of positive integer factors of 42025 that divides 42025 without a remainder.

1,5,25,41,205,1025,1681,8405,42025

Factors of 42029

List of positive integer factors of 42029 that divides 42029 without a remainder.

1,13,53,61,689,793,3233,42029

Greatest Common Factor

We found the factors and prime factorization of 42025 and 42029. The biggest common factor number is the GCF number.
So the greatest common factor 42025 and 42029 is 1.

Also check out the Least Common Multiple of 42025 and 42029

Properties of GCF 42025 and 42029

(i) The GCF of 42025 and 42029 is associative

GCF of 42025 and 42029 = GCF of 42029 and 42025

Related Greatest Common Factor of 42025

Related Greatest Common Factor of 42029

Frequently Asked Questions on GCF of 42025 and 42029

1. What is the GCF of 42025 and 42029?

Answer: GCF of 42025 and 42029 is 1.

2. What are the Factors of 42025?

Answer: Factors of 42025 are 1, 5, 25, 41, 205, 1025, 1681, 8405, 42025. There are 9 integers that are factors of 42025. The greatest factor of 42025 is 42025.

3. What are the Factors of 42029?

Answer: Factors of 42029 are 1, 13, 53, 61, 689, 793, 3233, 42029. There are 8 integers that are factors of 42029. The greatest factor of 42029 is 42029.

4. How to Find the GCF of 42025 and 42029?

Answer:

Greatest Common Factor of 42025 and 42029 = 1

Step 1: Find the prime factorization of 42025

42025 = 5 x 5 x 41 x 41

Step 2: Find the prime factorization of 42029

42029 = 13 x 53 x 61

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 42025 and 42029 is 1