What is the Greatest Common Factor of 86854 and 86864?

Greatest common factor (GCF) of 86854 and 86864 is 2.

GCF(86854,86864) = 2

We will now calculate the prime factors of 86854 and 86864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86854 and 86864.

How to find the GCF of 86854 and 86864?

We will first find the prime factorization of 86854 and 86864. After we will calculate the factors of 86854 and 86864 and find the biggest common factor number .

Step-1: Prime Factorization of 86854

Prime factors of 86854 are 2, 43427. Prime factorization of 86854 in exponential form is:

86854 = 2¹ × 43427¹

Step-2: Prime Factorization of 86864

Prime factors of 86864 are 2, 61, 89. Prime factorization of 86864 in exponential form is:

86864 = 2⁴ × 61¹ × 89¹

Step-3: Factors of 86854

List of positive integer factors of 86854 that divides 86854 without a remainder.

1, 2, 43427

Step-4: Factors of 86864

List of positive integer factors of 86864 that divides 86854 without a remainder.

1, 2, 4, 8, 16, 61, 89, 122, 178, 244, 356, 488, 712, 976, 1424, 5429, 10858, 21716, 43432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86854 and 86864. The biggest common factor number is the GCF number.
So the greatest common factor 86854 and 86864 is 2.

Also check out the Least Common Multiple of 86854 and 86864