What is the Greatest Common Factor of 74848 and 74862?

Greatest common factor (GCF) of 74848 and 74862 is 2.

GCF(74848,74862) = 2

We will now calculate the prime factors of 74848 and 74862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74848 and 74862.

How to find the GCF of 74848 and 74862?

We will first find the prime factorization of 74848 and 74862. After we will calculate the factors of 74848 and 74862 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 74862

Prime factors of 74862 are 2, 3, 4159. Prime factorization of 74862 in exponential form is:

74862 = 2¹ × 3² × 4159¹

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 74862

List of positive integer factors of 74862 that divides 74848 without a remainder.

1, 2, 3, 6, 9, 18, 4159, 8318, 12477, 24954, 37431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74848 and 74862. The biggest common factor number is the GCF number.
So the greatest common factor 74848 and 74862 is 2.

Also check out the Least Common Multiple of 74848 and 74862