Greatest Common Factor of 85 and 89

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

• Greatest Common Factor of 85 and 89 by prime factorization method
• Greatest Common Factor of 85 and 89 by matching factors method

Prime Factorization of 85

Prime factors of 85 are 5,17. Prime factorization of 85 in exponential form is:

85 = 5¹×17¹

Prime Factorization of 89

Prime factors of 89 are 89. Prime factorization of 89 in exponential form is:

89 = 89¹

∴ So by taking common prime factors GCF of 85 and 89 is 1

Factors of 85

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

1,5,17,85

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors and prime factorization of 85 and 89. The biggest common factor number is the GCF number.
So the greatest common factor 85 and 89 is 1.

Also check out the Least Common Multiple of 85 and 89

(i) The GCF of 85 and 89 is associative

GCF of 85 and 89 = GCF of 89 and 85

1. What is the GCF of 85 and 89?

Answer: GCF of 85 and 89 is 1.

2. 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.

3. What are the Factors of 89?

Answer: Factors of 89 are 1, 89. There are 2 integers that are factors of 89. The greatest factor of 89 is 89.

4. How to Find the GCF of 85 and 89?

Answer:

Greatest Common Factor of 85 and 89 = 1

Step 1: Find the prime factorization of 85

85 = 5 x 17

Step 2: Find the prime factorization of 89

89 = 89

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 85 and 89 is 1