Greatest Common Factor of 89 and 91

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

• Greatest Common Factor of 89 and 91 by prime factorization method
• Greatest Common Factor of 89 and 91 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 91

Prime factors of 91 are 7.Prime factorization of 91 in exponential form is:

91 = 7¹×13¹

∴ So by taking common prime factors GCF of 89 and 91 is 1

Factors of 89

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

1,89

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Greatest Common Factor

We found the factors and prime factorization of 89 and 91. The biggest common factor number is the GCF number.
So the greatest common factor 89 and 91 is 1.

Also check out the Least Common Multiple of 89 and 91

(i) The GCF of 89 and 91 is associative

GCF of 89 and 91 = GCF of 91 and 89

1. What is the GCF of 89 and 91?

Answer: GCF of 89 and 91 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 91?

Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.

4. How to Find the GCF of 89 and 91?

Answer:

Greatest Common Factor of 89 and 91 = 1

Step 1: Find the prime factorization of 89

89 = 89

Step 2: Find the prime factorization of 91

91 = 7 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 89 and 91 is 1