What is the Greatest Common Factor of 86829 and 86848?

Greatest common factor (GCF) of 86829 and 86848 is 1.

GCF(86829,86848) = 1

We will now calculate the prime factors of 86829 and 86848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86829 and 86848.

How to find the GCF of 86829 and 86848?

We will first find the prime factorization of 86829 and 86848. After we will calculate the factors of 86829 and 86848 and find the biggest common factor number .

Step-1: Prime Factorization of 86829

Prime factors of 86829 are 3, 103, 281. Prime factorization of 86829 in exponential form is:

86829 = 3¹ × 103¹ × 281¹

Step-2: 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-3: Factors of 86829

List of positive integer factors of 86829 that divides 86829 without a remainder.

1, 3, 103, 281, 309, 843, 28943

Step-4: Factors of 86848

List of positive integer factors of 86848 that divides 86829 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86829 and 86848. The biggest common factor number is the GCF number.
So the greatest common factor 86829 and 86848 is 1.

Also check out the Least Common Multiple of 86829 and 86848