What is the Greatest Common Factor of 86848 and 86855?

Greatest common factor (GCF) of 86848 and 86855 is 1.

GCF(86848,86855) = 1

We will now calculate the prime factors of 86848 and 86855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86848 and 86855.

How to find the GCF of 86848 and 86855?

We will first find the prime factorization of 86848 and 86855. After we will calculate the factors of 86848 and 86855 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 86855

Prime factors of 86855 are 5, 29, 599. Prime factorization of 86855 in exponential form is:

86855 = 5¹ × 29¹ × 599¹

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 86855

List of positive integer factors of 86855 that divides 86848 without a remainder.

1, 5, 29, 145, 599, 2995, 17371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86848 and 86855. The biggest common factor number is the GCF number.
So the greatest common factor 86848 and 86855 is 1.

Also check out the Least Common Multiple of 86848 and 86855