Greatest Common Factor of 7645 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 7645, 7648 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7645 and 7648 is 1.

GCF(7645,7648) = 1

GCF of 7645 and 7648

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

GCF of:
and

Greatest Common Factor of 7645 and 7648

GCF of 7645 and 7648 is 1

Prime Factorization of 7645


5 7645
11 1529
139 139
1

Prime factors of 7645 are 5,11,139. Prime factorization of 7645 in exponential form is:

7645 = 51×111×1391

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 7645 and 7648 is 1

Greatest Common Factor of 7645 and 7648 by matching factors method

Factors of 7645

List of positive integer factors of 7645 that divides 7645 without a remainder.

1,5,11,55,139,695,1529,7645

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 7645 and 7648. The biggest common factor number is the GCF number.
So the greatest common factor 7645 and 7648 is 1.

Also check out the Least Common Multiple of 7645 and 7648

Properties of GCF 7645 and 7648

(i) The GCF of 7645 and 7648 is associative

GCF of 7645 and 7648 = GCF of 7648 and 7645

Related Greatest Common Factor of 7645

Related Greatest Common Factor of 7648

Frequently Asked Questions on GCF of 7645 and 7648

1. What is the GCF of 7645 and 7648?

Answer: GCF of 7645 and 7648 is 1.

2. What are the Factors of 7645?

Answer: Factors of 7645 are 1, 5, 11, 55, 139, 695, 1529, 7645. There are 8 integers that are factors of 7645. The greatest factor of 7645 is 7645.

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 7645 and 7648?

Answer:

Greatest Common Factor of 7645 and 7648 = 1

Step 1: Find the prime factorization of 7645

7645 = 5 x 11 x 139

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 7645 and 7648 is 1