Greatest Common Factor of 97 and 105

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

• Greatest Common Factor of 97 and 105 by prime factorization method
• Greatest Common Factor of 97 and 105 by matching factors method

Prime Factorization of 97

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

97 = 97¹

Prime Factorization of 105

Prime factors of 105 are 3.Prime factorization of 105 in exponential form is:

105 = 3¹×5¹×7¹

∴ So by taking common prime factors GCF of 97 and 105 is 1

Factors of 97

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

1,97

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors and prime factorization of 97 and 105. The biggest common factor number is the GCF number.
So the greatest common factor 97 and 105 is 1.

Also check out the Least Common Multiple of 97 and 105

(i) The GCF of 97 and 105 is associative

GCF of 97 and 105 = GCF of 105 and 97

1. What is the GCF of 97 and 105?

Answer: GCF of 97 and 105 is 1.

2. 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.

3. What are the Factors of 105?

Answer: Factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105. There are 8 integers that are factors of 105. The greatest factor of 105 is 105.

4. How to Find the GCF of 97 and 105?

Answer:

Greatest Common Factor of 97 and 105 = 1

Step 1: Find the prime factorization of 97

97 = 97

Step 2: Find the prime factorization of 105

105 = 3 x 5 x 7

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 97 and 105 is 1