Greatest Common Factor of 9761 and 9769

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

• Greatest Common Factor of 9761 and 9769 by prime factorization method
• Greatest Common Factor of 9761 and 9769 by matching factors method

Prime Factorization of 9761

Prime factors of 9761 are 43,227. Prime factorization of 9761 in exponential form is:

9761 = 43¹×227¹

Prime Factorization of 9769

Prime factors of 9769 are 9769. Prime factorization of 9769 in exponential form is:

9769 = 9769¹

∴ So by taking common prime factors GCF of 9761 and 9769 is 1

Factors of 9761

List of positive integer factors of 9761 that divides 9761 without a remainder.

1,43,227,9761

Factors of 9769

List of positive integer factors of 9769 that divides 9769 without a remainder.

1,9769

Greatest Common Factor

We found the factors and prime factorization of 9761 and 9769. The biggest common factor number is the GCF number.
So the greatest common factor 9761 and 9769 is 1.

Also check out the Least Common Multiple of 9761 and 9769

(i) The GCF of 9761 and 9769 is associative

GCF of 9761 and 9769 = GCF of 9769 and 9761

1. What is the GCF of 9761 and 9769?

Answer: GCF of 9761 and 9769 is 1.

2. What are the Factors of 9761?

Answer: Factors of 9761 are 1, 43, 227, 9761. There are 4 integers that are factors of 9761. The greatest factor of 9761 is 9761.

3. What are the Factors of 9769?

Answer: Factors of 9769 are 1, 9769. There are 2 integers that are factors of 9769. The greatest factor of 9769 is 9769.

4. How to Find the GCF of 9761 and 9769?

Answer:

Greatest Common Factor of 9761 and 9769 = 1

Step 1: Find the prime factorization of 9761

9761 = 43 x 227

Step 2: Find the prime factorization of 9769

9769 = 9769

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 9761 and 9769 is 1