What is the Greatest Common Factor of 85408 and 85424?

Greatest common factor (GCF) of 85408 and 85424 is 16.

GCF(85408,85424) = 16

We will now calculate the prime factors of 85408 and 85424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85408 and 85424.

How to find the GCF of 85408 and 85424?

We will first find the prime factorization of 85408 and 85424. After we will calculate the factors of 85408 and 85424 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85424

Prime factors of 85424 are 2, 19, 281. Prime factorization of 85424 in exponential form is:

85424 = 2⁴ × 19¹ × 281¹

Step-3: Factors of 85408

List of positive integer factors of 85408 that divides 85408 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

Step-4: Factors of 85424

List of positive integer factors of 85424 that divides 85408 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 281, 304, 562, 1124, 2248, 4496, 5339, 10678, 21356, 42712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85408 and 85424. The biggest common factor number is the GCF number.
So the greatest common factor 85408 and 85424 is 16.

Also check out the Least Common Multiple of 85408 and 85424