Greatest Common Factor of 7475 and 7477

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 7475, 7477 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7475 and 7477 is 1.

GCF(7475,7477) = 1

GCF of 7475 and 7477

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

GCF of:
and

Greatest Common Factor of 7475 and 7477

GCF of 7475 and 7477 is 1

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

Prime Factorization of 7477


7477 7477
1

Prime factors of 7477 are 7477. Prime factorization of 7477 in exponential form is:

7477 = 74771

∴ So by taking common prime factors GCF of 7475 and 7477 is 1

Greatest Common Factor of 7475 and 7477 by matching factors method

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

Factors of 7477

List of positive integer factors of 7477 that divides 7477 without a remainder.

1,7477

Greatest Common Factor

We found the factors and prime factorization of 7475 and 7477. The biggest common factor number is the GCF number.
So the greatest common factor 7475 and 7477 is 1.

Also check out the Least Common Multiple of 7475 and 7477

Properties of GCF 7475 and 7477

(i) The GCF of 7475 and 7477 is associative

GCF of 7475 and 7477 = GCF of 7477 and 7475

Related Greatest Common Factor of 7475

Related Greatest Common Factor of 7477

Frequently Asked Questions on GCF of 7475 and 7477

1. What is the GCF of 7475 and 7477?

Answer: GCF of 7475 and 7477 is 1.

2. 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.

3. What are the Factors of 7477?

Answer: Factors of 7477 are 1, 7477. There are 2 integers that are factors of 7477. The greatest factor of 7477 is 7477.

4. How to Find the GCF of 7475 and 7477?

Answer:

Greatest Common Factor of 7475 and 7477 = 1

Step 1: Find the prime factorization of 7475

7475 = 5 x 5 x 13 x 23

Step 2: Find the prime factorization of 7477

7477 = 7477

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 7475 and 7477 is 1