Greatest Common Factor of 773 and 779

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

• Greatest Common Factor of 773 and 779 by prime factorization method
• Greatest Common Factor of 773 and 779 by matching factors method

Prime Factorization of 773

Prime factors of 773 are 773. Prime factorization of 773 in exponential form is:

773 = 773¹

Prime Factorization of 779

Prime factors of 779 are 19.Prime factorization of 779 in exponential form is:

779 = 19¹×41¹

∴ So by taking common prime factors GCF of 773 and 779 is 1

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors and prime factorization of 773 and 779. The biggest common factor number is the GCF number.
So the greatest common factor 773 and 779 is 1.

Also check out the Least Common Multiple of 773 and 779

(i) The GCF of 773 and 779 is associative

GCF of 773 and 779 = GCF of 779 and 773

1. What is the GCF of 773 and 779?

Answer: GCF of 773 and 779 is 1.

2. What are the Factors of 773?

Answer: Factors of 773 are 1, 773. There are 2 integers that are factors of 773. The greatest factor of 773 is 773.

3. What are the Factors of 779?

Answer: Factors of 779 are 1, 19, 41, 779. There are 4 integers that are factors of 779. The greatest factor of 779 is 779.

4. How to Find the GCF of 773 and 779?

Answer:

Greatest Common Factor of 773 and 779 = 1

Step 1: Find the prime factorization of 773

773 = 773

Step 2: Find the prime factorization of 779

779 = 19 x 41

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 773 and 779 is 1