Greatest Common Factor of 1577 and 1582

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 1577, 1582 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1577 and 1582 is 1.

GCF(1577,1582) = 1

GCF of 1577 and 1582

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

GCF of:
and

Greatest Common Factor of 1577 and 1582

GCF of 1577 and 1582 is 1

Prime Factorization of 1577


19 1577
83 83
1

Prime factors of 1577 are 19,83. Prime factorization of 1577 in exponential form is:

1577 = 191×831

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

∴ So by taking common prime factors GCF of 1577 and 1582 is 1

Greatest Common Factor of 1577 and 1582 by matching factors method

Factors of 1577

List of positive integer factors of 1577 that divides 1577 without a remainder.

1,19,83,1577

Factors of 1582

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

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

Greatest Common Factor

We found the factors and prime factorization of 1577 and 1582. The biggest common factor number is the GCF number.
So the greatest common factor 1577 and 1582 is 1.

Also check out the Least Common Multiple of 1577 and 1582

Properties of GCF 1577 and 1582

(i) The GCF of 1577 and 1582 is associative

GCF of 1577 and 1582 = GCF of 1582 and 1577

Related Greatest Common Factor of 1577

Related Greatest Common Factor of 1582

Frequently Asked Questions on GCF of 1577 and 1582

1. What is the GCF of 1577 and 1582?

Answer: GCF of 1577 and 1582 is 1.

2. What are the Factors of 1577?

Answer: Factors of 1577 are 1, 19, 83, 1577. There are 4 integers that are factors of 1577. The greatest factor of 1577 is 1577.

3. 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.

4. How to Find the GCF of 1577 and 1582?

Answer:

Greatest Common Factor of 1577 and 1582 = 1

Step 1: Find the prime factorization of 1577

1577 = 19 x 83

Step 2: Find the prime factorization of 1582

1582 = 2 x 7 x 113

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 1577 and 1582 is 1