Greatest Common Factor of 1552 and 1558

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 1552, 1558 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1552 and 1558 is 2.

GCF(1552,1558) = 2

GCF of 1552 and 1558

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

GCF of:
and

Greatest Common Factor of 1552 and 1558

GCF of 1552 and 1558 is 2

Prime Factorization of 1552


2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 1552 are 2,97. Prime factorization of 1552 in exponential form is:

1552 = 24×971

Prime Factorization of 1558


2 1558
19 779
41 41
1

Prime factors of 1558 are 2,19,41. Prime factorization of 1558 in exponential form is:

1558 = 21×191×411

∴ So by taking common prime factors GCF of 1552 and 1558 is 2

Greatest Common Factor of 1552 and 1558 by matching factors method

Factors of 1552

List of positive integer factors of 1552 that divides 1552 without a remainder.

1,2,4,8,16,97,194,388,776,1552

Factors of 1558

List of positive integer factors of 1558 that divides 1558 without a remainder.

1,2,19,38,41,82,779,1558

Greatest Common Factor

We found the factors and prime factorization of 1552 and 1558. The biggest common factor number is the GCF number.
So the greatest common factor 1552 and 1558 is 2.

Also check out the Least Common Multiple of 1552 and 1558

Properties of GCF 1552 and 1558

(i) The GCF of 1552 and 1558 is associative

GCF of 1552 and 1558 = GCF of 1558 and 1552

Related Greatest Common Factor of 1552

Related Greatest Common Factor of 1558

Frequently Asked Questions on GCF of 1552 and 1558

1. What is the GCF of 1552 and 1558?

Answer: GCF of 1552 and 1558 is 2.

2. What are the Factors of 1552?

Answer: Factors of 1552 are 1, 2, 4, 8, 16, 97, 194, 388, 776, 1552. There are 10 integers that are factors of 1552. The greatest factor of 1552 is 1552.

3. What are the Factors of 1558?

Answer: Factors of 1558 are 1, 2, 19, 38, 41, 82, 779, 1558. There are 8 integers that are factors of 1558. The greatest factor of 1558 is 1558.

4. How to Find the GCF of 1552 and 1558?

Answer:

Greatest Common Factor of 1552 and 1558 = 2

Step 1: Find the prime factorization of 1552

1552 = 2 x 2 x 2 x 2 x 97

Step 2: Find the prime factorization of 1558

1558 = 2 x 19 x 41

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 1552 and 1558 is 2