Greatest Common Factor of 1558 and 1562

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 1558, 1562 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1558 and 1562 is 2.

GCF(1558,1562) = 2

GCF of 1558 and 1562

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

GCF of:
and

Greatest Common Factor of 1558 and 1562

GCF of 1558 and 1562 is 2

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

Prime Factorization of 1562


2 1562
11 781
71 71
1

Prime factors of 1562 are 2,11,71. Prime factorization of 1562 in exponential form is:

1562 = 21×111×711

∴ So by taking common prime factors GCF of 1558 and 1562 is 2

Greatest Common Factor of 1558 and 1562 by matching factors method

Factors of 1558

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

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

Factors of 1562

List of positive integer factors of 1562 that divides 1562 without a remainder.

1,2,11,22,71,142,781,1562

Greatest Common Factor

We found the factors and prime factorization of 1558 and 1562. The biggest common factor number is the GCF number.
So the greatest common factor 1558 and 1562 is 2.

Also check out the Least Common Multiple of 1558 and 1562

Properties of GCF 1558 and 1562

(i) The GCF of 1558 and 1562 is associative

GCF of 1558 and 1562 = GCF of 1562 and 1558

Related Greatest Common Factor of 1558

Related Greatest Common Factor of 1562

Frequently Asked Questions on GCF of 1558 and 1562

1. What is the GCF of 1558 and 1562?

Answer: GCF of 1558 and 1562 is 2.

2. 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.

3. What are the Factors of 1562?

Answer: Factors of 1562 are 1, 2, 11, 22, 71, 142, 781, 1562. There are 8 integers that are factors of 1562. The greatest factor of 1562 is 1562.

4. How to Find the GCF of 1558 and 1562?

Answer:

Greatest Common Factor of 1558 and 1562 = 2

Step 1: Find the prime factorization of 1558

1558 = 2 x 19 x 41

Step 2: Find the prime factorization of 1562

1562 = 2 x 11 x 71

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 1558 and 1562 is 2