Greatest Common Factor of 3570 and 3577

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 3570, 3577 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3570 and 3577 is 7.

GCF(3570,3577) = 7

GCF of 3570 and 3577

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

GCF of:
and

Greatest Common Factor of 3570 and 3577

GCF of 3570 and 3577 is 7

Prime Factorization of 3570


2 3570
3 1785
5 595
7 119
17 17
1

Prime factors of 3570 are 2,3,5,7,17. Prime factorization of 3570 in exponential form is:

3570 = 21×31×51×71×171

Prime Factorization of 3577


7 3577
7 511
73 73
1

Prime factors of 3577 are 7,73. Prime factorization of 3577 in exponential form is:

3577 = 72×731

∴ So by taking common prime factors GCF of 3570 and 3577 is 7

Greatest Common Factor of 3570 and 3577 by matching factors method

Factors of 3570

List of positive integer factors of 3570 that divides 3570 without a remainder.

1,2,3,5,6,7,10,14,15,17,21,30,34,35,42,51,70,85,102,105,119,170,210,238,255,357,510,595,714,1190,1785,3570

Factors of 3577

List of positive integer factors of 3577 that divides 3577 without a remainder.

1,7,49,73,511,3577

Greatest Common Factor

We found the factors and prime factorization of 3570 and 3577. The biggest common factor number is the GCF number.
So the greatest common factor 3570 and 3577 is 7.

Also check out the Least Common Multiple of 3570 and 3577

Properties of GCF 3570 and 3577

(i) The GCF of 3570 and 3577 is associative

GCF of 3570 and 3577 = GCF of 3577 and 3570

Related Greatest Common Factor of 3570

Related Greatest Common Factor of 3577

Frequently Asked Questions on GCF of 3570 and 3577

1. What is the GCF of 3570 and 3577?

Answer: GCF of 3570 and 3577 is 7.

2. What are the Factors of 3570?

Answer: Factors of 3570 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570. There are 32 integers that are factors of 3570. The greatest factor of 3570 is 3570.

3. What are the Factors of 3577?

Answer: Factors of 3577 are 1, 7, 49, 73, 511, 3577. There are 6 integers that are factors of 3577. The greatest factor of 3577 is 3577.

4. How to Find the GCF of 3570 and 3577?

Answer:

Greatest Common Factor of 3570 and 3577 = 7

Step 1: Find the prime factorization of 3570

3570 = 2 x 3 x 5 x 7 x 17

Step 2: Find the prime factorization of 3577

3577 = 7 x 7 x 73

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3570 and 3577 is 7