Greatest Common Factor of 36025 and 36029

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 36025, 36029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36025 and 36029 is 1.

GCF(36025,36029) = 1

GCF of 36025 and 36029

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

GCF of:
and

Greatest Common Factor of 36025 and 36029

GCF of 36025 and 36029 is 1

Prime Factorization of 36025


5 36025
5 7205
11 1441
131 131
1

Prime factors of 36025 are 5,11,131. Prime factorization of 36025 in exponential form is:

36025 = 52×111×1311

Prime Factorization of 36029


7 36029
5147 5147
1

Prime factors of 36029 are 7,5147. Prime factorization of 36029 in exponential form is:

36029 = 71×51471

∴ So by taking common prime factors GCF of 36025 and 36029 is 1

Greatest Common Factor of 36025 and 36029 by matching factors method

Factors of 36025

List of positive integer factors of 36025 that divides 36025 without a remainder.

1,5,11,25,55,131,275,655,1441,3275,7205,36025

Factors of 36029

List of positive integer factors of 36029 that divides 36029 without a remainder.

1,7,5147,36029

Greatest Common Factor

We found the factors and prime factorization of 36025 and 36029. The biggest common factor number is the GCF number.
So the greatest common factor 36025 and 36029 is 1.

Also check out the Least Common Multiple of 36025 and 36029

Properties of GCF 36025 and 36029

(i) The GCF of 36025 and 36029 is associative

GCF of 36025 and 36029 = GCF of 36029 and 36025

Related Greatest Common Factor of 36025

Related Greatest Common Factor of 36029

Frequently Asked Questions on GCF of 36025 and 36029

1. What is the GCF of 36025 and 36029?

Answer: GCF of 36025 and 36029 is 1.

2. What are the Factors of 36025?

Answer: Factors of 36025 are 1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205, 36025. There are 12 integers that are factors of 36025. The greatest factor of 36025 is 36025.

3. What are the Factors of 36029?

Answer: Factors of 36029 are 1, 7, 5147, 36029. There are 4 integers that are factors of 36029. The greatest factor of 36029 is 36029.

4. How to Find the GCF of 36025 and 36029?

Answer:

Greatest Common Factor of 36025 and 36029 = 1

Step 1: Find the prime factorization of 36025

36025 = 5 x 5 x 11 x 131

Step 2: Find the prime factorization of 36029

36029 = 7 x 5147

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 36025 and 36029 is 1