What is the Greatest Common Factor of 86848 and 86867?

Greatest common factor (GCF) of 86848 and 86867 is 1.

GCF(86848,86867) = 1

We will now calculate the prime factors of 86848 and 86867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86848 and 86867.

How to find the GCF of 86848 and 86867?

We will first find the prime factorization of 86848 and 86867. After we will calculate the factors of 86848 and 86867 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 86867

Prime factors of 86867 are 11, 53, 149. Prime factorization of 86867 in exponential form is:

86867 = 11¹ × 53¹ × 149¹

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 86867

List of positive integer factors of 86867 that divides 86848 without a remainder.

1, 11, 53, 149, 583, 1639, 7897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86848 and 86867. The biggest common factor number is the GCF number.
So the greatest common factor 86848 and 86867 is 1.

Also check out the Least Common Multiple of 86848 and 86867