What is the Greatest Common Factor of 74004 and 74016?

Greatest common factor (GCF) of 74004 and 74016 is 12.

GCF(74004,74016) = 12

We will now calculate the prime factors of 74004 and 74016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74004 and 74016.

How to find the GCF of 74004 and 74016?

We will first find the prime factorization of 74004 and 74016. After we will calculate the factors of 74004 and 74016 and find the biggest common factor number .

Step-1: Prime Factorization of 74004

Prime factors of 74004 are 2, 3, 7, 881. Prime factorization of 74004 in exponential form is:

74004 = 2² × 3¹ × 7¹ × 881¹

Step-2: Prime Factorization of 74016

Prime factors of 74016 are 2, 3, 257. Prime factorization of 74016 in exponential form is:

74016 = 2⁵ × 3² × 257¹

Step-3: Factors of 74004

List of positive integer factors of 74004 that divides 74004 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 881, 1762, 2643, 3524, 5286, 6167, 10572, 12334, 18501, 24668, 37002

Step-4: Factors of 74016

List of positive integer factors of 74016 that divides 74004 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 257, 288, 514, 771, 1028, 1542, 2056, 2313, 3084, 4112, 4626, 6168, 8224, 9252, 12336, 18504, 24672, 37008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74004 and 74016. The biggest common factor number is the GCF number.
So the greatest common factor 74004 and 74016 is 12.

Also check out the Least Common Multiple of 74004 and 74016