What is the Greatest Common Factor of 74832 and 74848?

Greatest common factor (GCF) of 74832 and 74848 is 16.

GCF(74832,74848) = 16

We will now calculate the prime factors of 74832 and 74848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74832 and 74848.

How to find the GCF of 74832 and 74848?

We will first find the prime factorization of 74832 and 74848. After we will calculate the factors of 74832 and 74848 and find the biggest common factor number .

Step-1: Prime Factorization of 74832

Prime factors of 74832 are 2, 3, 1559. Prime factorization of 74832 in exponential form is:

74832 = 2⁴ × 3¹ × 1559¹

Step-2: Prime Factorization of 74848

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

74848 = 2⁵ × 2339¹

Step-3: Factors of 74832

List of positive integer factors of 74832 that divides 74832 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1559, 3118, 4677, 6236, 9354, 12472, 18708, 24944, 37416

Step-4: Factors of 74848

List of positive integer factors of 74848 that divides 74832 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74832 and 74848. The biggest common factor number is the GCF number.
So the greatest common factor 74832 and 74848 is 16.

Also check out the Least Common Multiple of 74832 and 74848