Greatest Common Factor of 7642 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 7642, 7648 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7642 and 7648 is 2.

GCF(7642,7648) = 2

GCF of 7642 and 7648

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

GCF of:
and

Greatest Common Factor of 7642 and 7648

GCF of 7642 and 7648 is 2

Prime Factorization of 7642


2 7642
3821 3821
1

Prime factors of 7642 are 2,3821. Prime factorization of 7642 in exponential form is:

7642 = 21×38211

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

∴ So by taking common prime factors GCF of 7642 and 7648 is 2

Greatest Common Factor of 7642 and 7648 by matching factors method

Factors of 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1,2,3821,7642

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 7642 and 7648. The biggest common factor number is the GCF number.
So the greatest common factor 7642 and 7648 is 2.

Also check out the Least Common Multiple of 7642 and 7648

Properties of GCF 7642 and 7648

(i) The GCF of 7642 and 7648 is associative

GCF of 7642 and 7648 = GCF of 7648 and 7642

Related Greatest Common Factor of 7642

Related Greatest Common Factor of 7648

Frequently Asked Questions on GCF of 7642 and 7648

1. What is the GCF of 7642 and 7648?

Answer: GCF of 7642 and 7648 is 2.

2. What are the Factors of 7642?

Answer: Factors of 7642 are 1, 2, 3821, 7642. There are 4 integers that are factors of 7642. The greatest factor of 7642 is 7642.

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 7642 and 7648?

Answer:

Greatest Common Factor of 7642 and 7648 = 2

Step 1: Find the prime factorization of 7642

7642 = 2 x 3821

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 = 2

Step 4: Therefore, the greatest common factor of 7642 and 7648 is 2