What is the Greatest Common Factor of 96848 and 96859?

Greatest common factor (GCF) of 96848 and 96859 is 1.

GCF(96848,96859) = 1

We will now calculate the prime factors of 96848 and 96859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96848 and 96859.

How to find the GCF of 96848 and 96859?

We will first find the prime factorization of 96848 and 96859. After we will calculate the factors of 96848 and 96859 and find the biggest common factor number .

Step-1: Prime Factorization of 96848

Prime factors of 96848 are 2, 6053. Prime factorization of 96848 in exponential form is:

96848 = 2⁴ × 6053¹

Step-2: Prime Factorization of 96859

Prime factors of 96859 are 7, 101, 137. Prime factorization of 96859 in exponential form is:

96859 = 7¹ × 101¹ × 137¹

Step-3: Factors of 96848

List of positive integer factors of 96848 that divides 96848 without a remainder.

1, 2, 4, 8, 16, 6053, 12106, 24212, 48424

Step-4: Factors of 96859

List of positive integer factors of 96859 that divides 96848 without a remainder.

1, 7, 101, 137, 707, 959, 13837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96848 and 96859. The biggest common factor number is the GCF number.
So the greatest common factor 96848 and 96859 is 1.

Also check out the Least Common Multiple of 96848 and 96859