What is the Greatest Common Factor of 74848 and 74859?

Greatest common factor (GCF) of 74848 and 74859 is 1.

GCF(74848,74859) = 1

We will now calculate the prime factors of 74848 and 74859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74848 and 74859.

How to find the GCF of 74848 and 74859?

We will first find the prime factorization of 74848 and 74859. After we will calculate the factors of 74848 and 74859 and find the biggest common factor number .

Step-1: Prime Factorization of 74848

Prime factors of 74848 are 2, 2339. Prime factorization of 74848 in exponential form is:

74848 = 2⁵ × 2339¹

Step-2: Prime Factorization of 74859

Prime factors of 74859 are 3, 24953. Prime factorization of 74859 in exponential form is:

74859 = 3¹ × 24953¹

Step-3: Factors of 74848

List of positive integer factors of 74848 that divides 74848 without a remainder.

1, 2, 4, 8, 16, 32, 2339, 4678, 9356, 18712, 37424

Step-4: Factors of 74859

List of positive integer factors of 74859 that divides 74848 without a remainder.

1, 3, 24953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74848 and 74859. The biggest common factor number is the GCF number.
So the greatest common factor 74848 and 74859 is 1.

Also check out the Least Common Multiple of 74848 and 74859