Greatest Common Factor of 1577 and 1583

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

• Greatest Common Factor of 1577 and 1583 by prime factorization method
• Greatest Common Factor of 1577 and 1583 by matching factors method

Prime Factorization of 1577

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

1577 = 19¹×83¹

Prime Factorization of 1583

Prime factors of 1583 are 1583. Prime factorization of 1583 in exponential form is:

1583 = 1583¹

∴ So by taking common prime factors GCF of 1577 and 1583 is 1

Factors of 1577

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

1,19,83,1577

Factors of 1583

List of positive integer factors of 1583 that divides 1583 without a remainder.

1,1583

Greatest Common Factor

We found the factors and prime factorization of 1577 and 1583. The biggest common factor number is the GCF number.
So the greatest common factor 1577 and 1583 is 1.

Also check out the Least Common Multiple of 1577 and 1583

(i) The GCF of 1577 and 1583 is associative

GCF of 1577 and 1583 = GCF of 1583 and 1577

1. What is the GCF of 1577 and 1583?

Answer: GCF of 1577 and 1583 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 1583?

Answer: Factors of 1583 are 1, 1583. There are 2 integers that are factors of 1583. The greatest factor of 1583 is 1583.

4. How to Find the GCF of 1577 and 1583?

Answer:

Greatest Common Factor of 1577 and 1583 = 1

Step 1: Find the prime factorization of 1577

1577 = 19 x 83

Step 2: Find the prime factorization of 1583

1583 = 1583

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 1583 is 1