Greatest Common Factor of 5025 and 5026

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, 5026 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5025 and 5026 is 1.

GCF(5025,5026) = 1

GCF of 5025 and 5026

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

GCF of:
and

Greatest Common Factor of 5025 and 5026

GCF of 5025 and 5026 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 5026


2 5026
7 2513
359 359
1

Prime factors of 5026 are 2,7,359. Prime factorization of 5026 in exponential form is:

5026 = 21×71×3591

∴ So by taking common prime factors GCF of 5025 and 5026 is 1

Greatest Common Factor of 5025 and 5026 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 5026

List of positive integer factors of 5026 that divides 5026 without a remainder.

1,2,7,14,359,718,2513,5026

Greatest Common Factor

We found the factors and prime factorization of 5025 and 5026. The biggest common factor number is the GCF number.
So the greatest common factor 5025 and 5026 is 1.

Also check out the Least Common Multiple of 5025 and 5026

Properties of GCF 5025 and 5026

(i) The GCF of 5025 and 5026 is associative

GCF of 5025 and 5026 = GCF of 5026 and 5025

Related Greatest Common Factor of 5025

Related Greatest Common Factor of 5026

Frequently Asked Questions on GCF of 5025 and 5026

1. What is the GCF of 5025 and 5026?

Answer: GCF of 5025 and 5026 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 5026?

Answer: Factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026. There are 8 integers that are factors of 5026. The greatest factor of 5026 is 5026.

4. How to Find the GCF of 5025 and 5026?

Answer:

Greatest Common Factor of 5025 and 5026 = 1

Step 1: Find the prime factorization of 5025

5025 = 3 x 5 x 5 x 67

Step 2: Find the prime factorization of 5026

5026 = 2 x 7 x 359

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 5026 is 1