Greatest Common Factor of 7643 and 7648

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 7643, 7648 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7643 and 7648 is 1.

GCF(7643,7648) = 1

GCF of 7643 and 7648

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

GCF of:
and

Greatest Common Factor of 7643 and 7648

GCF of 7643 and 7648 is 1

Prime Factorization of 7643


7643 7643
1

Prime factors of 7643 are 7643. Prime factorization of 7643 in exponential form is:

7643 = 76431

Prime Factorization of 7648


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

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

7648 = 25×2391

∴ So by taking common prime factors GCF of 7643 and 7648 is 1

Greatest Common Factor of 7643 and 7648 by matching factors method

Factors of 7643

List of positive integer factors of 7643 that divides 7643 without a remainder.

1,7643

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

Greatest Common Factor

We found the factors and prime factorization of 7643 and 7648. The biggest common factor number is the GCF number.
So the greatest common factor 7643 and 7648 is 1.

Also check out the Least Common Multiple of 7643 and 7648

Properties of GCF 7643 and 7648

(i) The GCF of 7643 and 7648 is associative

GCF of 7643 and 7648 = GCF of 7648 and 7643

Related Greatest Common Factor of 7643

Related Greatest Common Factor of 7648

Frequently Asked Questions on GCF of 7643 and 7648

1. What is the GCF of 7643 and 7648?

Answer: GCF of 7643 and 7648 is 1.

2. What are the Factors of 7643?

Answer: Factors of 7643 are 1, 7643. There are 2 integers that are factors of 7643. The greatest factor of 7643 is 7643.

3. 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.

4. How to Find the GCF of 7643 and 7648?

Answer:

Greatest Common Factor of 7643 and 7648 = 1

Step 1: Find the prime factorization of 7643

7643 = 7643

Step 2: Find the prime factorization of 7648

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

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 7643 and 7648 is 1