Greatest Common Factor of 4025 and 4029

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 4025, 4029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4025 and 4029 is 1.

GCF(4025,4029) = 1

GCF of 4025 and 4029

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

GCF of:
and

Greatest Common Factor of 4025 and 4029

GCF of 4025 and 4029 is 1

Prime Factorization of 4025


5 4025
5 805
7 161
23 23
1

Prime factors of 4025 are 5,7,23. Prime factorization of 4025 in exponential form is:

4025 = 52×71×231

Prime Factorization of 4029


3 4029
17 1343
79 79
1

Prime factors of 4029 are 3,17,79. Prime factorization of 4029 in exponential form is:

4029 = 31×171×791

∴ So by taking common prime factors GCF of 4025 and 4029 is 1

Greatest Common Factor of 4025 and 4029 by matching factors method

Factors of 4025

List of positive integer factors of 4025 that divides 4025 without a remainder.

1,5,7,23,25,35,115,161,175,575,805,4025

Factors of 4029

List of positive integer factors of 4029 that divides 4029 without a remainder.

1,3,17,51,79,237,1343,4029

Greatest Common Factor

We found the factors and prime factorization of 4025 and 4029. The biggest common factor number is the GCF number.
So the greatest common factor 4025 and 4029 is 1.

Also check out the Least Common Multiple of 4025 and 4029

Properties of GCF 4025 and 4029

(i) The GCF of 4025 and 4029 is associative

GCF of 4025 and 4029 = GCF of 4029 and 4025

Related Greatest Common Factor of 4025

Related Greatest Common Factor of 4029

Frequently Asked Questions on GCF of 4025 and 4029

1. What is the GCF of 4025 and 4029?

Answer: GCF of 4025 and 4029 is 1.

2. What are the Factors of 4025?

Answer: Factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025. There are 12 integers that are factors of 4025. The greatest factor of 4025 is 4025.

3. What are the Factors of 4029?

Answer: Factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029. There are 8 integers that are factors of 4029. The greatest factor of 4029 is 4029.

4. How to Find the GCF of 4025 and 4029?

Answer:

Greatest Common Factor of 4025 and 4029 = 1

Step 1: Find the prime factorization of 4025

4025 = 5 x 5 x 7 x 23

Step 2: Find the prime factorization of 4029

4029 = 3 x 17 x 79

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 4025 and 4029 is 1