Greatest Common Factor of 7650 and 7654

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 7650, 7654 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7650 and 7654 is 2.

GCF(7650,7654) = 2

GCF of 7650 and 7654

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

GCF of:
and

Greatest Common Factor of 7650 and 7654

GCF of 7650 and 7654 is 2

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

Prime Factorization of 7654


2 7654
43 3827
89 89
1

Prime factors of 7654 are 2,43,89. Prime factorization of 7654 in exponential form is:

7654 = 21×431×891

∴ So by taking common prime factors GCF of 7650 and 7654 is 2

Greatest Common Factor of 7650 and 7654 by matching factors method

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

Factors of 7654

List of positive integer factors of 7654 that divides 7654 without a remainder.

1,2,43,86,89,178,3827,7654

Greatest Common Factor

We found the factors and prime factorization of 7650 and 7654. The biggest common factor number is the GCF number.
So the greatest common factor 7650 and 7654 is 2.

Also check out the Least Common Multiple of 7650 and 7654

Properties of GCF 7650 and 7654

(i) The GCF of 7650 and 7654 is associative

GCF of 7650 and 7654 = GCF of 7654 and 7650

Related Greatest Common Factor of 7650

Related Greatest Common Factor of 7654

Frequently Asked Questions on GCF of 7650 and 7654

1. What is the GCF of 7650 and 7654?

Answer: GCF of 7650 and 7654 is 2.

2. 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.

3. What are the Factors of 7654?

Answer: Factors of 7654 are 1, 2, 43, 86, 89, 178, 3827, 7654. There are 8 integers that are factors of 7654. The greatest factor of 7654 is 7654.

4. How to Find the GCF of 7650 and 7654?

Answer:

Greatest Common Factor of 7650 and 7654 = 2

Step 1: Find the prime factorization of 7650

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

Step 2: Find the prime factorization of 7654

7654 = 2 x 43 x 89

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 7650 and 7654 is 2