Greatest Common Factor of 600 and 601

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 600, 601 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 600 and 601 is 1.

GCF(600,601) = 1

GCF of 600 and 601

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

GCF of:
and

Greatest Common Factor of 600 and 601

GCF of 600 and 601 is 1

Prime Factorization of 600


2 600
2 300
2 150
3 75
5 25
5 5
1

Prime factors of 600 are 2,3,5. Prime factorization of 600 in exponential form is:

600 = 23×31×52

Prime Factorization of 601


601 601
1

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

601 = 6011

∴ So by taking common prime factors GCF of 600 and 601 is 1

Greatest Common Factor of 600 and 601 by matching factors method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

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 600 and 601. The biggest common factor number is the GCF number.
So the greatest common factor 600 and 601 is 1.

Also check out the Least Common Multiple of 600 and 601

Properties of GCF 600 and 601

(i) The GCF of 600 and 601 is associative

GCF of 600 and 601 = GCF of 601 and 600

Related Greatest Common Factor of 600

Related Greatest Common Factor of 601

Frequently Asked Questions on GCF of 600 and 601

1. What is the GCF of 600 and 601?

Answer: GCF of 600 and 601 is 1.

2. What are the Factors of 600?

Answer: Factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600. There are 24 integers that are factors of 600. The greatest factor of 600 is 600.

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 600 and 601?

Answer:

Greatest Common Factor of 600 and 601 = 1

Step 1: Find the prime factorization of 600

600 = 2 x 2 x 2 x 3 x 5 x 5

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 600 and 601 is 1