Greatest Common Factor of 839 and 845

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

• Greatest Common Factor of 839 and 845 by prime factorization method
• Greatest Common Factor of 839 and 845 by matching factors method

Prime Factorization of 839

Prime factors of 839 are 839. Prime factorization of 839 in exponential form is:

839 = 839¹

Prime Factorization of 845

Prime factors of 845 are 5.Prime factorization of 845 in exponential form is:

845 = 5¹×13²

∴ So by taking common prime factors GCF of 839 and 845 is 1

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors and prime factorization of 839 and 845. The biggest common factor number is the GCF number.
So the greatest common factor 839 and 845 is 1.

Also check out the Least Common Multiple of 839 and 845

(i) The GCF of 839 and 845 is associative

GCF of 839 and 845 = GCF of 845 and 839

1. What is the GCF of 839 and 845?

Answer: GCF of 839 and 845 is 1.

2. What are the Factors of 839?

Answer: Factors of 839 are 1, 839. There are 2 integers that are factors of 839. The greatest factor of 839 is 839.

3. What are the Factors of 845?

Answer: Factors of 845 are 1, 5, 13, 65, 169, 845. There are 6 integers that are factors of 845. The greatest factor of 845 is 845.

4. How to Find the GCF of 839 and 845?

Answer:

Greatest Common Factor of 839 and 845 = 1

Step 1: Find the prime factorization of 839

839 = 839

Step 2: Find the prime factorization of 845

845 = 5 x 13 x 13

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 839 and 845 is 1