What is the Greatest Common Factor of 74016 and 74034?

Greatest common factor (GCF) of 74016 and 74034 is 18.

GCF(74016,74034) = 18

We will now calculate the prime factors of 74016 and 74034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74016 and 74034.

How to find the GCF of 74016 and 74034?

We will first find the prime factorization of 74016 and 74034. After we will calculate the factors of 74016 and 74034 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74034

Prime factors of 74034 are 2, 3, 457. Prime factorization of 74034 in exponential form is:

74034 = 2¹ × 3⁴ × 457¹

Step-3: Factors of 74016

List of positive integer factors of 74016 that divides 74016 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

Step-4: Factors of 74034

List of positive integer factors of 74034 that divides 74016 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 457, 914, 1371, 2742, 4113, 8226, 12339, 24678, 37017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74016 and 74034. The biggest common factor number is the GCF number.
So the greatest common factor 74016 and 74034 is 18.

Also check out the Least Common Multiple of 74016 and 74034