Greatest Common Factor of 93 and 97

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

• Greatest Common Factor of 93 and 97 by prime factorization method
• Greatest Common Factor of 93 and 97 by matching factors method

Prime Factorization of 93

Prime factors of 93 are 3,31. Prime factorization of 93 in exponential form is:

93 = 3¹×31¹

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 93 and 97 is 1

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

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 93 and 97. The biggest common factor number is the GCF number.
So the greatest common factor 93 and 97 is 1.

Also check out the Least Common Multiple of 93 and 97

(i) The GCF of 93 and 97 is associative

GCF of 93 and 97 = GCF of 97 and 93

1. What is the GCF of 93 and 97?

Answer: GCF of 93 and 97 is 1.

2. What are the Factors of 93?

Answer: Factors of 93 are 1, 3, 31, 93. There are 4 integers that are factors of 93. The greatest factor of 93 is 93.

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 93 and 97?

Answer:

Greatest Common Factor of 93 and 97 = 1

Step 1: Find the prime factorization of 93

93 = 3 x 31

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 93 and 97 is 1