What is the Greatest Common Factor of 86912 and 86931?

Greatest common factor (GCF) of 86912 and 86931 is 1.

GCF(86912,86931) = 1

We will now calculate the prime factors of 86912 and 86931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86912 and 86931.

How to find the GCF of 86912 and 86931?

We will first find the prime factorization of 86912 and 86931. After we will calculate the factors of 86912 and 86931 and find the biggest common factor number .

Step-1: Prime Factorization of 86912

Prime factors of 86912 are 2, 7, 97. Prime factorization of 86912 in exponential form is:

86912 = 2⁷ × 7¹ × 97¹

Step-2: Prime Factorization of 86931

Prime factors of 86931 are 3, 13, 743. Prime factorization of 86931 in exponential form is:

86931 = 3² × 13¹ × 743¹

Step-3: Factors of 86912

List of positive integer factors of 86912 that divides 86912 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 97, 112, 128, 194, 224, 388, 448, 679, 776, 896, 1358, 1552, 2716, 3104, 5432, 6208, 10864, 12416, 21728, 43456

Step-4: Factors of 86931

List of positive integer factors of 86931 that divides 86912 without a remainder.

1, 3, 9, 13, 39, 117, 743, 2229, 6687, 9659, 28977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86912 and 86931. The biggest common factor number is the GCF number.
So the greatest common factor 86912 and 86931 is 1.

Also check out the Least Common Multiple of 86912 and 86931