Greatest Common Factor of 7739 and 7741

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

• Greatest Common Factor of 7739 and 7741 by prime factorization method
• Greatest Common Factor of 7739 and 7741 by matching factors method

Prime Factorization of 7739

Prime factors of 7739 are 71,109. Prime factorization of 7739 in exponential form is:

7739 = 71¹×109¹

Prime Factorization of 7741

Prime factors of 7741 are 7741. Prime factorization of 7741 in exponential form is:

7741 = 7741¹

∴ So by taking common prime factors GCF of 7739 and 7741 is 1

Factors of 7739

List of positive integer factors of 7739 that divides 7739 without a remainder.

1,71,109,7739

Factors of 7741

List of positive integer factors of 7741 that divides 7741 without a remainder.

1,7741

Greatest Common Factor

We found the factors and prime factorization of 7739 and 7741. The biggest common factor number is the GCF number.
So the greatest common factor 7739 and 7741 is 1.

Also check out the Least Common Multiple of 7739 and 7741

(i) The GCF of 7739 and 7741 is associative

GCF of 7739 and 7741 = GCF of 7741 and 7739

1. What is the GCF of 7739 and 7741?

Answer: GCF of 7739 and 7741 is 1.

2. What are the Factors of 7739?

Answer: Factors of 7739 are 1, 71, 109, 7739. There are 4 integers that are factors of 7739. The greatest factor of 7739 is 7739.

3. What are the Factors of 7741?

Answer: Factors of 7741 are 1, 7741. There are 2 integers that are factors of 7741. The greatest factor of 7741 is 7741.

4. How to Find the GCF of 7739 and 7741?

Answer:

Greatest Common Factor of 7739 and 7741 = 1

Step 1: Find the prime factorization of 7739

7739 = 71 x 109

Step 2: Find the prime factorization of 7741

7741 = 7741

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 7739 and 7741 is 1