Greatest Common Factor of 1582 and 1588

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 1582, 1588 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1582 and 1588 is 2.

GCF(1582,1588) = 2

GCF of 1582 and 1588

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

GCF of:
and

Greatest Common Factor of 1582 and 1588

GCF of 1582 and 1588 is 2

Prime Factorization of 1582


2 1582
7 791
113 113
1

Prime factors of 1582 are 2,7,113. Prime factorization of 1582 in exponential form is:

1582 = 21×71×1131

Prime Factorization of 1588


2 1588
2 794
397 397
1

Prime factors of 1588 are 2,397. Prime factorization of 1588 in exponential form is:

1588 = 22×3971

∴ So by taking common prime factors GCF of 1582 and 1588 is 2

Greatest Common Factor of 1582 and 1588 by matching factors method

Factors of 1582

List of positive integer factors of 1582 that divides 1582 without a remainder.

1,2,7,14,113,226,791,1582

Factors of 1588

List of positive integer factors of 1588 that divides 1588 without a remainder.

1,2,4,397,794,1588

Greatest Common Factor

We found the factors and prime factorization of 1582 and 1588. The biggest common factor number is the GCF number.
So the greatest common factor 1582 and 1588 is 2.

Also check out the Least Common Multiple of 1582 and 1588

Properties of GCF 1582 and 1588

(i) The GCF of 1582 and 1588 is associative

GCF of 1582 and 1588 = GCF of 1588 and 1582

Related Greatest Common Factor of 1582

Related Greatest Common Factor of 1588

Frequently Asked Questions on GCF of 1582 and 1588

1. What is the GCF of 1582 and 1588?

Answer: GCF of 1582 and 1588 is 2.

2. What are the Factors of 1582?

Answer: Factors of 1582 are 1, 2, 7, 14, 113, 226, 791, 1582. There are 8 integers that are factors of 1582. The greatest factor of 1582 is 1582.

3. What are the Factors of 1588?

Answer: Factors of 1588 are 1, 2, 4, 397, 794, 1588. There are 6 integers that are factors of 1588. The greatest factor of 1588 is 1588.

4. How to Find the GCF of 1582 and 1588?

Answer:

Greatest Common Factor of 1582 and 1588 = 2

Step 1: Find the prime factorization of 1582

1582 = 2 x 7 x 113

Step 2: Find the prime factorization of 1588

1588 = 2 x 2 x 397

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 1582 and 1588 is 2