Greatest Common Factor of 1741 and 1745

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

• Greatest Common Factor of 1741 and 1745 by prime factorization method
• Greatest Common Factor of 1741 and 1745 by matching factors method

Prime Factorization of 1741

Prime factors of 1741 are 1741. Prime factorization of 1741 in exponential form is:

1741 = 1741¹

Prime Factorization of 1745

Prime factors of 1745 are 5.Prime factorization of 1745 in exponential form is:

1745 = 5¹×349¹

∴ So by taking common prime factors GCF of 1741 and 1745 is 1

Factors of 1741

List of positive integer factors of 1741 that divides 1741 without a remainder.

1,1741

Factors of 1745

List of positive integer factors of 1745 that divides 1745 without a remainder.

1,5,349,1745

Greatest Common Factor

We found the factors and prime factorization of 1741 and 1745. The biggest common factor number is the GCF number.
So the greatest common factor 1741 and 1745 is 1.

Also check out the Least Common Multiple of 1741 and 1745

(i) The GCF of 1741 and 1745 is associative

GCF of 1741 and 1745 = GCF of 1745 and 1741

1. What is the GCF of 1741 and 1745?

Answer: GCF of 1741 and 1745 is 1.

2. What are the Factors of 1741?

Answer: Factors of 1741 are 1, 1741. There are 2 integers that are factors of 1741. The greatest factor of 1741 is 1741.

3. What are the Factors of 1745?

Answer: Factors of 1745 are 1, 5, 349, 1745. There are 4 integers that are factors of 1745. The greatest factor of 1745 is 1745.

4. How to Find the GCF of 1741 and 1745?

Answer:

Greatest Common Factor of 1741 and 1745 = 1

Step 1: Find the prime factorization of 1741

1741 = 1741

Step 2: Find the prime factorization of 1745

1745 = 5 x 349

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 1741 and 1745 is 1