Greatest Common Factor of 83 and 85

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

• Greatest Common Factor of 83 and 85 by prime factorization method
• Greatest Common Factor of 83 and 85 by matching factors method

Prime Factorization of 83

Prime factors of 83 are 83. Prime factorization of 83 in exponential form is:

83 = 83¹

Prime Factorization of 85

Prime factors of 85 are 5.Prime factorization of 85 in exponential form is:

85 = 5¹×17¹

∴ So by taking common prime factors GCF of 83 and 85 is 1

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Greatest Common Factor

We found the factors and prime factorization of 83 and 85. The biggest common factor number is the GCF number.
So the greatest common factor 83 and 85 is 1.

Also check out the Least Common Multiple of 83 and 85

(i) The GCF of 83 and 85 is associative

GCF of 83 and 85 = GCF of 85 and 83

1. What is the GCF of 83 and 85?

Answer: GCF of 83 and 85 is 1.

2. What are the Factors of 83?

Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.

3. What are the Factors of 85?

Answer: Factors of 85 are 1, 5, 17, 85. There are 4 integers that are factors of 85. The greatest factor of 85 is 85.

4. How to Find the GCF of 83 and 85?

Answer:

Greatest Common Factor of 83 and 85 = 1

Step 1: Find the prime factorization of 83

83 = 83

Step 2: Find the prime factorization of 85

85 = 5 x 17

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 83 and 85 is 1