Greatest Common Factor of 91 and 97

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

• Greatest Common Factor of 91 and 97 by prime factorization method
• Greatest Common Factor of 91 and 97 by matching factors method

Prime Factorization of 91

Prime factors of 91 are 7,13. Prime factorization of 91 in exponential form is:

91 = 7¹×13¹

Prime Factorization of 97

Prime factors of 97 are 97. Prime factorization of 97 in exponential form is:

97 = 97¹

∴ So by taking common prime factors GCF of 91 and 97 is 1

Factors of 91

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

1,7,13,91

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Greatest Common Factor

We found the factors and prime factorization of 91 and 97. The biggest common factor number is the GCF number.
So the greatest common factor 91 and 97 is 1.

Also check out the Least Common Multiple of 91 and 97

(i) The GCF of 91 and 97 is associative

GCF of 91 and 97 = GCF of 97 and 91

1. What is the GCF of 91 and 97?

Answer: GCF of 91 and 97 is 1.

2. 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.

3. What are the Factors of 97?

Answer: Factors of 97 are 1, 97. There are 2 integers that are factors of 97. The greatest factor of 97 is 97.

4. How to Find the GCF of 91 and 97?

Answer:

Greatest Common Factor of 91 and 97 = 1

Step 1: Find the prime factorization of 91

91 = 7 x 13

Step 2: Find the prime factorization of 97

97 = 97

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 91 and 97 is 1