What is the Greatest Common Factor of 85392 and 85408?

Greatest common factor (GCF) of 85392 and 85408 is 16.

GCF(85392,85408) = 16

We will now calculate the prime factors of 85392 and 85408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85392 and 85408.

How to find the GCF of 85392 and 85408?

We will first find the prime factorization of 85392 and 85408. After we will calculate the factors of 85392 and 85408 and find the biggest common factor number .

Step-1: Prime Factorization of 85392

Prime factors of 85392 are 2, 3, 593. Prime factorization of 85392 in exponential form is:

85392 = 2⁴ × 3² × 593¹

Step-2: Prime Factorization of 85408

Prime factors of 85408 are 2, 17, 157. Prime factorization of 85408 in exponential form is:

85408 = 2⁵ × 17¹ × 157¹

Step-3: Factors of 85392

List of positive integer factors of 85392 that divides 85392 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 593, 1186, 1779, 2372, 3558, 4744, 5337, 7116, 9488, 10674, 14232, 21348, 28464, 42696

Step-4: Factors of 85408

List of positive integer factors of 85408 that divides 85392 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 157, 272, 314, 544, 628, 1256, 2512, 2669, 5024, 5338, 10676, 21352, 42704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85392 and 85408. The biggest common factor number is the GCF number.
So the greatest common factor 85392 and 85408 is 16.

Also check out the Least Common Multiple of 85392 and 85408