Greatest Common Factor of 7262 and 7270

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 7262, 7270 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7262 and 7270 is 2.

GCF(7262,7270) = 2

GCF of 7262 and 7270

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

GCF of:
and

Greatest Common Factor of 7262 and 7270

GCF of 7262 and 7270 is 2

Prime Factorization of 7262


2 7262
3631 3631
1

Prime factors of 7262 are 2,3631. Prime factorization of 7262 in exponential form is:

7262 = 21×36311

Prime Factorization of 7270


2 7270
5 3635
727 727
1

Prime factors of 7270 are 2,5,727. Prime factorization of 7270 in exponential form is:

7270 = 21×51×7271

∴ So by taking common prime factors GCF of 7262 and 7270 is 2

Greatest Common Factor of 7262 and 7270 by matching factors method

Factors of 7262

List of positive integer factors of 7262 that divides 7262 without a remainder.

1,2,3631,7262

Factors of 7270

List of positive integer factors of 7270 that divides 7270 without a remainder.

1,2,5,10,727,1454,3635,7270

Greatest Common Factor

We found the factors and prime factorization of 7262 and 7270. The biggest common factor number is the GCF number.
So the greatest common factor 7262 and 7270 is 2.

Also check out the Least Common Multiple of 7262 and 7270

Properties of GCF 7262 and 7270

(i) The GCF of 7262 and 7270 is associative

GCF of 7262 and 7270 = GCF of 7270 and 7262

Related Greatest Common Factor of 7262

Related Greatest Common Factor of 7270

Frequently Asked Questions on GCF of 7262 and 7270

1. What is the GCF of 7262 and 7270?

Answer: GCF of 7262 and 7270 is 2.

2. What are the Factors of 7262?

Answer: Factors of 7262 are 1, 2, 3631, 7262. There are 4 integers that are factors of 7262. The greatest factor of 7262 is 7262.

3. What are the Factors of 7270?

Answer: Factors of 7270 are 1, 2, 5, 10, 727, 1454, 3635, 7270. There are 8 integers that are factors of 7270. The greatest factor of 7270 is 7270.

4. How to Find the GCF of 7262 and 7270?

Answer:

Greatest Common Factor of 7262 and 7270 = 2

Step 1: Find the prime factorization of 7262

7262 = 2 x 3631

Step 2: Find the prime factorization of 7270

7270 = 2 x 5 x 727

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 7262 and 7270 is 2