Greatest Common Factor of 7648 and 7655

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 7648, 7655 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7648 and 7655 is 1.

GCF(7648,7655) = 1

GCF of 7648 and 7655

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

GCF of:
and

Greatest Common Factor of 7648 and 7655

GCF of 7648 and 7655 is 1

Prime Factorization of 7648


2 7648
2 3824
2 1912
2 956
2 478
239 239
1

Prime factors of 7648 are 2,239. Prime factorization of 7648 in exponential form is:

7648 = 25×2391

Prime Factorization of 7655


5 7655
1531 1531
1

Prime factors of 7655 are 5,1531. Prime factorization of 7655 in exponential form is:

7655 = 51×15311

∴ So by taking common prime factors GCF of 7648 and 7655 is 1

Greatest Common Factor of 7648 and 7655 by matching factors method

Factors of 7648

List of positive integer factors of 7648 that divides 7648 without a remainder.

1,2,4,8,16,32,239,478,956,1912,3824,7648

Factors of 7655

List of positive integer factors of 7655 that divides 7655 without a remainder.

1,5,1531,7655

Greatest Common Factor

We found the factors and prime factorization of 7648 and 7655. The biggest common factor number is the GCF number.
So the greatest common factor 7648 and 7655 is 1.

Also check out the Least Common Multiple of 7648 and 7655

Properties of GCF 7648 and 7655

(i) The GCF of 7648 and 7655 is associative

GCF of 7648 and 7655 = GCF of 7655 and 7648

Related Greatest Common Factor of 7648

Related Greatest Common Factor of 7655

Frequently Asked Questions on GCF of 7648 and 7655

1. What is the GCF of 7648 and 7655?

Answer: GCF of 7648 and 7655 is 1.

2. What are the Factors of 7648?

Answer: Factors of 7648 are 1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648. There are 12 integers that are factors of 7648. The greatest factor of 7648 is 7648.

3. What are the Factors of 7655?

Answer: Factors of 7655 are 1, 5, 1531, 7655. There are 4 integers that are factors of 7655. The greatest factor of 7655 is 7655.

4. How to Find the GCF of 7648 and 7655?

Answer:

Greatest Common Factor of 7648 and 7655 = 1

Step 1: Find the prime factorization of 7648

7648 = 2 x 2 x 2 x 2 x 2 x 239

Step 2: Find the prime factorization of 7655

7655 = 5 x 1531

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 7648 and 7655 is 1