Greatest Common Factor of 2741 and 2747

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

• Greatest Common Factor of 2741 and 2747 by prime factorization method
• Greatest Common Factor of 2741 and 2747 by matching factors method

Prime Factorization of 2741

Prime factors of 2741 are 2741. Prime factorization of 2741 in exponential form is:

2741 = 2741¹

Prime Factorization of 2747

Prime factors of 2747 are 41.Prime factorization of 2747 in exponential form is:

2747 = 41¹×67¹

∴ So by taking common prime factors GCF of 2741 and 2747 is 1

Factors of 2741

List of positive integer factors of 2741 that divides 2741 without a remainder.

1,2741

Factors of 2747

List of positive integer factors of 2747 that divides 2747 without a remainder.

1,41,67,2747

Greatest Common Factor

We found the factors and prime factorization of 2741 and 2747. The biggest common factor number is the GCF number.
So the greatest common factor 2741 and 2747 is 1.

Also check out the Least Common Multiple of 2741 and 2747

(i) The GCF of 2741 and 2747 is associative

GCF of 2741 and 2747 = GCF of 2747 and 2741

1. What is the GCF of 2741 and 2747?

Answer: GCF of 2741 and 2747 is 1.

2. What are the Factors of 2741?

Answer: Factors of 2741 are 1, 2741. There are 2 integers that are factors of 2741. The greatest factor of 2741 is 2741.

3. What are the Factors of 2747?

Answer: Factors of 2747 are 1, 41, 67, 2747. There are 4 integers that are factors of 2747. The greatest factor of 2747 is 2747.

4. How to Find the GCF of 2741 and 2747?

Answer:

Greatest Common Factor of 2741 and 2747 = 1

Step 1: Find the prime factorization of 2741

2741 = 2741

Step 2: Find the prime factorization of 2747

2747 = 41 x 67

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 2741 and 2747 is 1