Greatest Common Factor of 86 and 97

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

• Greatest Common Factor of 86 and 97 by prime factorization method
• Greatest Common Factor of 86 and 97 by matching factors method

Prime Factorization of 86

Prime factors of 86 are 2,43. Prime factorization of 86 in exponential form is:

86 = 2¹×43¹

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 86 and 97 is 1

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

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 86 and 97. The biggest common factor number is the GCF number.
So the greatest common factor 86 and 97 is 1.

Also check out the Least Common Multiple of 86 and 97

(i) The GCF of 86 and 97 is associative

GCF of 86 and 97 = GCF of 97 and 86

1. What is the GCF of 86 and 97?

Answer: GCF of 86 and 97 is 1.

2. What are the Factors of 86?

Answer: Factors of 86 are 1, 2, 43, 86. There are 4 integers that are factors of 86. The greatest factor of 86 is 86.

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 86 and 97?

Answer:

Greatest Common Factor of 86 and 97 = 1

Step 1: Find the prime factorization of 86

86 = 2 x 43

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 86 and 97 is 1