Greatest Common Factor of 1579 and 1585

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

• Greatest Common Factor of 1579 and 1585 by prime factorization method
• Greatest Common Factor of 1579 and 1585 by matching factors method

Prime Factorization of 1579

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

1579 = 1579¹

Prime Factorization of 1585

Prime factors of 1585 are 5.Prime factorization of 1585 in exponential form is:

1585 = 5¹×317¹

∴ So by taking common prime factors GCF of 1579 and 1585 is 1

Factors of 1579

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

1,1579

Factors of 1585

List of positive integer factors of 1585 that divides 1585 without a remainder.

1,5,317,1585

Greatest Common Factor

We found the factors and prime factorization of 1579 and 1585. The biggest common factor number is the GCF number.
So the greatest common factor 1579 and 1585 is 1.

Also check out the Least Common Multiple of 1579 and 1585

(i) The GCF of 1579 and 1585 is associative

GCF of 1579 and 1585 = GCF of 1585 and 1579

1. What is the GCF of 1579 and 1585?

Answer: GCF of 1579 and 1585 is 1.

2. 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.

3. What are the Factors of 1585?

Answer: Factors of 1585 are 1, 5, 317, 1585. There are 4 integers that are factors of 1585. The greatest factor of 1585 is 1585.

4. How to Find the GCF of 1579 and 1585?

Answer:

Greatest Common Factor of 1579 and 1585 = 1

Step 1: Find the prime factorization of 1579

1579 = 1579

Step 2: Find the prime factorization of 1585

1585 = 5 x 317

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 1579 and 1585 is 1