Greatest Common Factor of 5025 and 5029

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 5025, 5029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5025 and 5029 is 1.

GCF(5025,5029) = 1

GCF of 5025 and 5029

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

GCF of:
and

Greatest Common Factor of 5025 and 5029

GCF of 5025 and 5029 is 1

Prime Factorization of 5025


3 5025
5 1675
5 335
67 67
1

Prime factors of 5025 are 3,5,67. Prime factorization of 5025 in exponential form is:

5025 = 31×52×671

Prime Factorization of 5029


47 5029
107 107
1

Prime factors of 5029 are 47,107. Prime factorization of 5029 in exponential form is:

5029 = 471×1071

∴ So by taking common prime factors GCF of 5025 and 5029 is 1

Greatest Common Factor of 5025 and 5029 by matching factors method

Factors of 5025

List of positive integer factors of 5025 that divides 5025 without a remainder.

1,3,5,15,25,67,75,201,335,1005,1675,5025

Factors of 5029

List of positive integer factors of 5029 that divides 5029 without a remainder.

1,47,107,5029

Greatest Common Factor

We found the factors and prime factorization of 5025 and 5029. The biggest common factor number is the GCF number.
So the greatest common factor 5025 and 5029 is 1.

Also check out the Least Common Multiple of 5025 and 5029

Properties of GCF 5025 and 5029

(i) The GCF of 5025 and 5029 is associative

GCF of 5025 and 5029 = GCF of 5029 and 5025

Related Greatest Common Factor of 5025

Related Greatest Common Factor of 5029

Frequently Asked Questions on GCF of 5025 and 5029

1. What is the GCF of 5025 and 5029?

Answer: GCF of 5025 and 5029 is 1.

2. What are the Factors of 5025?

Answer: Factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025. There are 12 integers that are factors of 5025. The greatest factor of 5025 is 5025.

3. What are the Factors of 5029?

Answer: Factors of 5029 are 1, 47, 107, 5029. There are 4 integers that are factors of 5029. The greatest factor of 5029 is 5029.

4. How to Find the GCF of 5025 and 5029?

Answer:

Greatest Common Factor of 5025 and 5029 = 1

Step 1: Find the prime factorization of 5025

5025 = 3 x 5 x 5 x 67

Step 2: Find the prime factorization of 5029

5029 = 47 x 107

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 5025 and 5029 is 1