Greatest Common Factor of 7645 and 7650

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, 7650 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7645 and 7650 is 5.

GCF(7645,7650) = 5

GCF of 7645 and 7650

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

GCF of:
and

Greatest Common Factor of 7645 and 7650

GCF of 7645 and 7650 is 5

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 7650


2 7650
3 3825
3 1275
5 425
5 85
17 17
1

Prime factors of 7650 are 2,3,5,17. Prime factorization of 7650 in exponential form is:

7650 = 21×32×52×171

∴ So by taking common prime factors GCF of 7645 and 7650 is 5

Greatest Common Factor of 7645 and 7650 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 7650

List of positive integer factors of 7650 that divides 7650 without a remainder.

1,2,3,5,6,9,10,15,17,18,25,30,34,45,50,51,75,85,90,102,150,153,170,225,255,306,425,450,510,765,850,1275,1530,2550,3825,7650

Greatest Common Factor

We found the factors and prime factorization of 7645 and 7650. The biggest common factor number is the GCF number.
So the greatest common factor 7645 and 7650 is 5.

Also check out the Least Common Multiple of 7645 and 7650

Properties of GCF 7645 and 7650

(i) The GCF of 7645 and 7650 is associative

GCF of 7645 and 7650 = GCF of 7650 and 7645

Related Greatest Common Factor of 7645

Related Greatest Common Factor of 7650

Frequently Asked Questions on GCF of 7645 and 7650

1. What is the GCF of 7645 and 7650?

Answer: GCF of 7645 and 7650 is 5.

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 7650?

Answer: Factors of 7650 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825, 7650. There are 36 integers that are factors of 7650. The greatest factor of 7650 is 7650.

4. How to Find the GCF of 7645 and 7650?

Answer:

Greatest Common Factor of 7645 and 7650 = 5

Step 1: Find the prime factorization of 7645

7645 = 5 x 11 x 139

Step 2: Find the prime factorization of 7650

7650 = 2 x 3 x 3 x 5 x 5 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 7645 and 7650 is 5