Greatest Common Factor of 86 and 96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 86, 96 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 86 and 96 is 2.

GCF(86,96) = 2

GCF of 86 and 96

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

GCF of:
and

Greatest Common Factor of 86 and 96

GCF of 86 and 96 is 2

Prime Factorization of 86


2 86
43 43
1

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

86 = 21×431

Prime Factorization of 96


2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 96 are 2,3. Prime factorization of 96 in exponential form is:

96 = 25×31

∴ So by taking common prime factors GCF of 86 and 96 is 2

Greatest Common Factor of 86 and 96 by matching factors method

Factors of 86

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

1,2,43,86

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors and prime factorization of 86 and 96. The biggest common factor number is the GCF number.
So the greatest common factor 86 and 96 is 2.

Also check out the Least Common Multiple of 86 and 96

Properties of GCF 86 and 96

(i) The GCF of 86 and 96 is associative

GCF of 86 and 96 = GCF of 96 and 86

Related Greatest Common Factor of 86

Related Greatest Common Factor of 96

Frequently Asked Questions on GCF of 86 and 96

1. What is the GCF of 86 and 96?

Answer: GCF of 86 and 96 is 2.

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 96?

Answer: Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. There are 12 integers that are factors of 96. The greatest factor of 96 is 96.

4. How to Find the GCF of 86 and 96?

Answer:

Greatest Common Factor of 86 and 96 = 2

Step 1: Find the prime factorization of 86

86 = 2 x 43

Step 2: Find the prime factorization of 96

96 = 2 x 2 x 2 x 2 x 2 x 3

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 86 and 96 is 2