Greatest Common Factor of 5572 and 5577

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 5572, 5577 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5572 and 5577 is 1.

GCF(5572,5577) = 1

GCF of 5572 and 5577

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

GCF of:
and

Greatest Common Factor of 5572 and 5577

GCF of 5572 and 5577 is 1

Prime Factorization of 5572


2 5572
2 2786
7 1393
199 199
1

Prime factors of 5572 are 2,7,199. Prime factorization of 5572 in exponential form is:

5572 = 22×71×1991

Prime Factorization of 5577


3 5577
11 1859
13 169
13 13
1

Prime factors of 5577 are 3,11,13. Prime factorization of 5577 in exponential form is:

5577 = 31×111×132

∴ So by taking common prime factors GCF of 5572 and 5577 is 1

Greatest Common Factor of 5572 and 5577 by matching factors method

Factors of 5572

List of positive integer factors of 5572 that divides 5572 without a remainder.

1,2,4,7,14,28,199,398,796,1393,2786,5572

Factors of 5577

List of positive integer factors of 5577 that divides 5577 without a remainder.

1,3,11,13,33,39,143,169,429,507,1859,5577

Greatest Common Factor

We found the factors and prime factorization of 5572 and 5577. The biggest common factor number is the GCF number.
So the greatest common factor 5572 and 5577 is 1.

Also check out the Least Common Multiple of 5572 and 5577

Properties of GCF 5572 and 5577

(i) The GCF of 5572 and 5577 is associative

GCF of 5572 and 5577 = GCF of 5577 and 5572

Related Greatest Common Factor of 5572

Related Greatest Common Factor of 5577

Frequently Asked Questions on GCF of 5572 and 5577

1. What is the GCF of 5572 and 5577?

Answer: GCF of 5572 and 5577 is 1.

2. What are the Factors of 5572?

Answer: Factors of 5572 are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572. There are 12 integers that are factors of 5572. The greatest factor of 5572 is 5572.

3. What are the Factors of 5577?

Answer: Factors of 5577 are 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577. There are 12 integers that are factors of 5577. The greatest factor of 5577 is 5577.

4. How to Find the GCF of 5572 and 5577?

Answer:

Greatest Common Factor of 5572 and 5577 = 1

Step 1: Find the prime factorization of 5572

5572 = 2 x 2 x 7 x 199

Step 2: Find the prime factorization of 5577

5577 = 3 x 11 x 13 x 13

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5572 and 5577 is 1