Greatest Common Factor of 1577 and 1579

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

• Greatest Common Factor of 1577 and 1579 by prime factorization method
• Greatest Common Factor of 1577 and 1579 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 1579

Prime factors of 1579 are 1579. Prime factorization of 1579 in exponential form is:

1579 = 1579¹

∴ So by taking common prime factors GCF of 1577 and 1579 is 1

Factors of 1577

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

1,19,83,1577

Factors of 1579

List of positive integer factors of 1579 that divides 1579 without a remainder.

1,1579

Greatest Common Factor

We found the factors and prime factorization of 1577 and 1579. The biggest common factor number is the GCF number.
So the greatest common factor 1577 and 1579 is 1.

Also check out the Least Common Multiple of 1577 and 1579

(i) The GCF of 1577 and 1579 is associative

GCF of 1577 and 1579 = GCF of 1579 and 1577

1. What is the GCF of 1577 and 1579?

Answer: GCF of 1577 and 1579 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 1579?

Answer: Factors of 1579 are 1, 1579. There are 2 integers that are factors of 1579. The greatest factor of 1579 is 1579.

4. How to Find the GCF of 1577 and 1579?

Answer:

Greatest Common Factor of 1577 and 1579 = 1

Step 1: Find the prime factorization of 1577

1577 = 19 x 83

Step 2: Find the prime factorization of 1579

1579 = 1579

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 1579 is 1