Greatest Common Factor of 3025 and 3026

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 3025, 3026 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3025 and 3026 is 1.

GCF(3025,3026) = 1

GCF of 3025 and 3026

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

GCF of:
and

Greatest Common Factor of 3025 and 3026

GCF of 3025 and 3026 is 1

Prime Factorization of 3025


5 3025
5 605
11 121
11 11
1

Prime factors of 3025 are 5,11. Prime factorization of 3025 in exponential form is:

3025 = 52×112

Prime Factorization of 3026


2 3026
17 1513
89 89
1

Prime factors of 3026 are 2,17,89. Prime factorization of 3026 in exponential form is:

3026 = 21×171×891

∴ So by taking common prime factors GCF of 3025 and 3026 is 1

Greatest Common Factor of 3025 and 3026 by matching factors method

Factors of 3025

List of positive integer factors of 3025 that divides 3025 without a remainder.

1,5,11,25,55,121,275,605,3025

Factors of 3026

List of positive integer factors of 3026 that divides 3026 without a remainder.

1,2,17,34,89,178,1513,3026

Greatest Common Factor

We found the factors and prime factorization of 3025 and 3026. The biggest common factor number is the GCF number.
So the greatest common factor 3025 and 3026 is 1.

Also check out the Least Common Multiple of 3025 and 3026

Properties of GCF 3025 and 3026

(i) The GCF of 3025 and 3026 is associative

GCF of 3025 and 3026 = GCF of 3026 and 3025

Related Greatest Common Factor of 3025

Related Greatest Common Factor of 3026

Frequently Asked Questions on GCF of 3025 and 3026

1. What is the GCF of 3025 and 3026?

Answer: GCF of 3025 and 3026 is 1.

2. What are the Factors of 3025?

Answer: Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025. There are 9 integers that are factors of 3025. The greatest factor of 3025 is 3025.

3. What are the Factors of 3026?

Answer: Factors of 3026 are 1, 2, 17, 34, 89, 178, 1513, 3026. There are 8 integers that are factors of 3026. The greatest factor of 3026 is 3026.

4. How to Find the GCF of 3025 and 3026?

Answer:

Greatest Common Factor of 3025 and 3026 = 1

Step 1: Find the prime factorization of 3025

3025 = 5 x 5 x 11 x 11

Step 2: Find the prime factorization of 3026

3026 = 2 x 17 x 89

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 3025 and 3026 is 1