Greatest Common Factor of 5570 and 5575

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 5570, 5575 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5570 and 5575 is 5.

GCF(5570,5575) = 5

GCF of 5570 and 5575

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

GCF of:
and

Greatest Common Factor of 5570 and 5575

GCF of 5570 and 5575 is 5

Prime Factorization of 5570


2 5570
5 2785
557 557
1

Prime factors of 5570 are 2,5,557. Prime factorization of 5570 in exponential form is:

5570 = 21×51×5571

Prime Factorization of 5575


5 5575
5 1115
223 223
1

Prime factors of 5575 are 5,223. Prime factorization of 5575 in exponential form is:

5575 = 52×2231

∴ So by taking common prime factors GCF of 5570 and 5575 is 5

Greatest Common Factor of 5570 and 5575 by matching factors method

Factors of 5570

List of positive integer factors of 5570 that divides 5570 without a remainder.

1,2,5,10,557,1114,2785,5570

Factors of 5575

List of positive integer factors of 5575 that divides 5575 without a remainder.

1,5,25,223,1115,5575

Greatest Common Factor

We found the factors and prime factorization of 5570 and 5575. The biggest common factor number is the GCF number.
So the greatest common factor 5570 and 5575 is 5.

Also check out the Least Common Multiple of 5570 and 5575

Properties of GCF 5570 and 5575

(i) The GCF of 5570 and 5575 is associative

GCF of 5570 and 5575 = GCF of 5575 and 5570

Related Greatest Common Factor of 5570

Related Greatest Common Factor of 5575

Frequently Asked Questions on GCF of 5570 and 5575

1. What is the GCF of 5570 and 5575?

Answer: GCF of 5570 and 5575 is 5.

2. What are the Factors of 5570?

Answer: Factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570. There are 8 integers that are factors of 5570. The greatest factor of 5570 is 5570.

3. What are the Factors of 5575?

Answer: Factors of 5575 are 1, 5, 25, 223, 1115, 5575. There are 6 integers that are factors of 5575. The greatest factor of 5575 is 5575.

4. How to Find the GCF of 5570 and 5575?

Answer:

Greatest Common Factor of 5570 and 5575 = 5

Step 1: Find the prime factorization of 5570

5570 = 2 x 5 x 557

Step 2: Find the prime factorization of 5575

5575 = 5 x 5 x 223

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 5570 and 5575 is 5