What is the Greatest Common Factor of 86848 and 86864?

Greatest common factor (GCF) of 86848 and 86864 is 16.

GCF(86848,86864) = 16

We will now calculate the prime factors of 86848 and 86864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86848 and 86864.

How to find the GCF of 86848 and 86864?

We will first find the prime factorization of 86848 and 86864. After we will calculate the factors of 86848 and 86864 and find the biggest common factor number .

Step-1: Prime Factorization of 86848

Prime factors of 86848 are 2, 23, 59. Prime factorization of 86848 in exponential form is:

86848 = 2⁶ × 23¹ × 59¹

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 86848

List of positive integer factors of 86848 that divides 86848 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 59, 64, 92, 118, 184, 236, 368, 472, 736, 944, 1357, 1472, 1888, 2714, 3776, 5428, 10856, 21712, 43424

Step-4: Factors of 86864

List of positive integer factors of 86864 that divides 86848 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 86848 and 86864. The biggest common factor number is the GCF number.
So the greatest common factor 86848 and 86864 is 16.

Also check out the Least Common Multiple of 86848 and 86864