Greatest Common Factor of 89 and 95

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

• Greatest Common Factor of 89 and 95 by prime factorization method
• Greatest Common Factor of 89 and 95 by matching factors method

Prime Factorization of 89

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

89 = 89¹

Prime Factorization of 95

Prime factors of 95 are 5.Prime factorization of 95 in exponential form is:

95 = 5¹×19¹

∴ So by taking common prime factors GCF of 89 and 95 is 1

Factors of 89

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

1,89

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Greatest Common Factor

We found the factors and prime factorization of 89 and 95. The biggest common factor number is the GCF number.
So the greatest common factor 89 and 95 is 1.

Also check out the Least Common Multiple of 89 and 95

(i) The GCF of 89 and 95 is associative

GCF of 89 and 95 = GCF of 95 and 89

1. What is the GCF of 89 and 95?

Answer: GCF of 89 and 95 is 1.

2. 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.

3. What are the Factors of 95?

Answer: Factors of 95 are 1, 5, 19, 95. There are 4 integers that are factors of 95. The greatest factor of 95 is 95.

4. How to Find the GCF of 89 and 95?

Answer:

Greatest Common Factor of 89 and 95 = 1

Step 1: Find the prime factorization of 89

89 = 89

Step 2: Find the prime factorization of 95

95 = 5 x 19

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 89 and 95 is 1