Greatest Common Factor of 597 and 601

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

• Greatest Common Factor of 597 and 601 by prime factorization method
• Greatest Common Factor of 597 and 601 by matching factors method

Prime Factorization of 597

Prime factors of 597 are 3,199. Prime factorization of 597 in exponential form is:

597 = 3¹×199¹

Prime Factorization of 601

Prime factors of 601 are 601. Prime factorization of 601 in exponential form is:

601 = 601¹

∴ So by taking common prime factors GCF of 597 and 601 is 1

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors and prime factorization of 597 and 601. The biggest common factor number is the GCF number.
So the greatest common factor 597 and 601 is 1.

Also check out the Least Common Multiple of 597 and 601

(i) The GCF of 597 and 601 is associative

GCF of 597 and 601 = GCF of 601 and 597

1. What is the GCF of 597 and 601?

Answer: GCF of 597 and 601 is 1.

2. What are the Factors of 597?

Answer: Factors of 597 are 1, 3, 199, 597. There are 4 integers that are factors of 597. The greatest factor of 597 is 597.

3. What are the Factors of 601?

Answer: Factors of 601 are 1, 601. There are 2 integers that are factors of 601. The greatest factor of 601 is 601.

4. How to Find the GCF of 597 and 601?

Answer:

Greatest Common Factor of 597 and 601 = 1

Step 1: Find the prime factorization of 597

597 = 3 x 199

Step 2: Find the prime factorization of 601

601 = 601

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 597 and 601 is 1