Greatest Common Factor of 7468 and 7475

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 7468, 7475 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7468 and 7475 is 1.

GCF(7468,7475) = 1

GCF of 7468 and 7475

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

GCF of:
and

Greatest Common Factor of 7468 and 7475

GCF of 7468 and 7475 is 1

Prime Factorization of 7468


2 7468
2 3734
1867 1867
1

Prime factors of 7468 are 2,1867. Prime factorization of 7468 in exponential form is:

7468 = 22×18671

Prime Factorization of 7475


5 7475
5 1495
13 299
23 23
1

Prime factors of 7475 are 5,13,23. Prime factorization of 7475 in exponential form is:

7475 = 52×131×231

∴ So by taking common prime factors GCF of 7468 and 7475 is 1

Greatest Common Factor of 7468 and 7475 by matching factors method

Factors of 7468

List of positive integer factors of 7468 that divides 7468 without a remainder.

1,2,4,1867,3734,7468

Factors of 7475

List of positive integer factors of 7475 that divides 7475 without a remainder.

1,5,13,23,25,65,115,299,325,575,1495,7475

Greatest Common Factor

We found the factors and prime factorization of 7468 and 7475. The biggest common factor number is the GCF number.
So the greatest common factor 7468 and 7475 is 1.

Also check out the Least Common Multiple of 7468 and 7475

Properties of GCF 7468 and 7475

(i) The GCF of 7468 and 7475 is associative

GCF of 7468 and 7475 = GCF of 7475 and 7468

Related Greatest Common Factor of 7468

Related Greatest Common Factor of 7475

Frequently Asked Questions on GCF of 7468 and 7475

1. What is the GCF of 7468 and 7475?

Answer: GCF of 7468 and 7475 is 1.

2. What are the Factors of 7468?

Answer: Factors of 7468 are 1, 2, 4, 1867, 3734, 7468. There are 6 integers that are factors of 7468. The greatest factor of 7468 is 7468.

3. What are the Factors of 7475?

Answer: Factors of 7475 are 1, 5, 13, 23, 25, 65, 115, 299, 325, 575, 1495, 7475. There are 12 integers that are factors of 7475. The greatest factor of 7475 is 7475.

4. How to Find the GCF of 7468 and 7475?

Answer:

Greatest Common Factor of 7468 and 7475 = 1

Step 1: Find the prime factorization of 7468

7468 = 2 x 2 x 1867

Step 2: Find the prime factorization of 7475

7475 = 5 x 5 x 13 x 23

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 7468 and 7475 is 1