Greatest Common Factor of 7574 and 7580

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 7574, 7580 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7574 and 7580 is 2.

GCF(7574,7580) = 2

GCF of 7574 and 7580

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

GCF of:
and

Greatest Common Factor of 7574 and 7580

GCF of 7574 and 7580 is 2

Prime Factorization of 7574


2 7574
7 3787
541 541
1

Prime factors of 7574 are 2,7,541. Prime factorization of 7574 in exponential form is:

7574 = 21×71×5411

Prime Factorization of 7580


2 7580
2 3790
5 1895
379 379
1

Prime factors of 7580 are 2,5,379. Prime factorization of 7580 in exponential form is:

7580 = 22×51×3791

∴ So by taking common prime factors GCF of 7574 and 7580 is 2

Greatest Common Factor of 7574 and 7580 by matching factors method

Factors of 7574

List of positive integer factors of 7574 that divides 7574 without a remainder.

1,2,7,14,541,1082,3787,7574

Factors of 7580

List of positive integer factors of 7580 that divides 7580 without a remainder.

1,2,4,5,10,20,379,758,1516,1895,3790,7580

Greatest Common Factor

We found the factors and prime factorization of 7574 and 7580. The biggest common factor number is the GCF number.
So the greatest common factor 7574 and 7580 is 2.

Also check out the Least Common Multiple of 7574 and 7580

Properties of GCF 7574 and 7580

(i) The GCF of 7574 and 7580 is associative

GCF of 7574 and 7580 = GCF of 7580 and 7574

Related Greatest Common Factor of 7574

Related Greatest Common Factor of 7580

Frequently Asked Questions on GCF of 7574 and 7580

1. What is the GCF of 7574 and 7580?

Answer: GCF of 7574 and 7580 is 2.

2. What are the Factors of 7574?

Answer: Factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574. There are 8 integers that are factors of 7574. The greatest factor of 7574 is 7574.

3. What are the Factors of 7580?

Answer: Factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580. There are 12 integers that are factors of 7580. The greatest factor of 7580 is 7580.

4. How to Find the GCF of 7574 and 7580?

Answer:

Greatest Common Factor of 7574 and 7580 = 2

Step 1: Find the prime factorization of 7574

7574 = 2 x 7 x 541

Step 2: Find the prime factorization of 7580

7580 = 2 x 2 x 5 x 379

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 7574 and 7580 is 2