What is the Greatest Common Factor of 74320 and 74336?

Greatest common factor (GCF) of 74320 and 74336 is 16.

GCF(74320,74336) = 16

We will now calculate the prime factors of 74320 and 74336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74320 and 74336.

How to find the GCF of 74320 and 74336?

We will first find the prime factorization of 74320 and 74336. After we will calculate the factors of 74320 and 74336 and find the biggest common factor number .

Step-1: Prime Factorization of 74320

Prime factors of 74320 are 2, 5, 929. Prime factorization of 74320 in exponential form is:

74320 = 2⁴ × 5¹ × 929¹

Step-2: Prime Factorization of 74336

Prime factors of 74336 are 2, 23, 101. Prime factorization of 74336 in exponential form is:

74336 = 2⁵ × 23¹ × 101¹

Step-3: Factors of 74320

List of positive integer factors of 74320 that divides 74320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 929, 1858, 3716, 4645, 7432, 9290, 14864, 18580, 37160

Step-4: Factors of 74336

List of positive integer factors of 74336 that divides 74320 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 101, 184, 202, 368, 404, 736, 808, 1616, 2323, 3232, 4646, 9292, 18584, 37168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74320 and 74336. The biggest common factor number is the GCF number.
So the greatest common factor 74320 and 74336 is 16.

Also check out the Least Common Multiple of 74320 and 74336