What is the Greatest Common Factor of 74016 and 74020?

Greatest common factor (GCF) of 74016 and 74020 is 4.

GCF(74016,74020) = 4

We will now calculate the prime factors of 74016 and 74020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74016 and 74020.

How to find the GCF of 74016 and 74020?

We will first find the prime factorization of 74016 and 74020. After we will calculate the factors of 74016 and 74020 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 74020

Prime factors of 74020 are 2, 5, 3701. Prime factorization of 74020 in exponential form is:

74020 = 2² × 5¹ × 3701¹

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 74020

List of positive integer factors of 74020 that divides 74016 without a remainder.

1, 2, 4, 5, 10, 20, 3701, 7402, 14804, 18505, 37010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74016 and 74020. The biggest common factor number is the GCF number.
So the greatest common factor 74016 and 74020 is 4.

Also check out the Least Common Multiple of 74016 and 74020