Greatest Common Factor of 7025 and 7031

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 7025, 7031 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7025 and 7031 is 1.

GCF(7025,7031) = 1

GCF of 7025 and 7031

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

GCF of:
and

Greatest Common Factor of 7025 and 7031

GCF of 7025 and 7031 is 1

Prime Factorization of 7025


5 7025
5 1405
281 281
1

Prime factors of 7025 are 5,281. Prime factorization of 7025 in exponential form is:

7025 = 52×2811

Prime Factorization of 7031


79 7031
89 89
1

Prime factors of 7031 are 79,89. Prime factorization of 7031 in exponential form is:

7031 = 791×891

∴ So by taking common prime factors GCF of 7025 and 7031 is 1

Greatest Common Factor of 7025 and 7031 by matching factors method

Factors of 7025

List of positive integer factors of 7025 that divides 7025 without a remainder.

1,5,25,281,1405,7025

Factors of 7031

List of positive integer factors of 7031 that divides 7031 without a remainder.

1,79,89,7031

Greatest Common Factor

We found the factors and prime factorization of 7025 and 7031. The biggest common factor number is the GCF number.
So the greatest common factor 7025 and 7031 is 1.

Also check out the Least Common Multiple of 7025 and 7031

Properties of GCF 7025 and 7031

(i) The GCF of 7025 and 7031 is associative

GCF of 7025 and 7031 = GCF of 7031 and 7025

Related Greatest Common Factor of 7025

Related Greatest Common Factor of 7031

Frequently Asked Questions on GCF of 7025 and 7031

1. What is the GCF of 7025 and 7031?

Answer: GCF of 7025 and 7031 is 1.

2. What are the Factors of 7025?

Answer: Factors of 7025 are 1, 5, 25, 281, 1405, 7025. There are 6 integers that are factors of 7025. The greatest factor of 7025 is 7025.

3. What are the Factors of 7031?

Answer: Factors of 7031 are 1, 79, 89, 7031. There are 4 integers that are factors of 7031. The greatest factor of 7031 is 7031.

4. How to Find the GCF of 7025 and 7031?

Answer:

Greatest Common Factor of 7025 and 7031 = 1

Step 1: Find the prime factorization of 7025

7025 = 5 x 5 x 281

Step 2: Find the prime factorization of 7031

7031 = 79 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 7025 and 7031 is 1