What is the Greatest Common Factor of 86096 and 86108?

Greatest common factor (GCF) of 86096 and 86108 is 4.

GCF(86096,86108) = 4

We will now calculate the prime factors of 86096 and 86108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86096 and 86108.

How to find the GCF of 86096 and 86108?

We will first find the prime factorization of 86096 and 86108. After we will calculate the factors of 86096 and 86108 and find the biggest common factor number .

Step-1: Prime Factorization of 86096

Prime factors of 86096 are 2, 5381. Prime factorization of 86096 in exponential form is:

86096 = 2⁴ × 5381¹

Step-2: Prime Factorization of 86108

Prime factors of 86108 are 2, 11, 19, 103. Prime factorization of 86108 in exponential form is:

86108 = 2² × 11¹ × 19¹ × 103¹

Step-3: Factors of 86096

List of positive integer factors of 86096 that divides 86096 without a remainder.

1, 2, 4, 8, 16, 5381, 10762, 21524, 43048

Step-4: Factors of 86108

List of positive integer factors of 86108 that divides 86096 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 103, 206, 209, 412, 418, 836, 1133, 1957, 2266, 3914, 4532, 7828, 21527, 43054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86096 and 86108. The biggest common factor number is the GCF number.
So the greatest common factor 86096 and 86108 is 4.

Also check out the Least Common Multiple of 86096 and 86108