What is the Greatest Common Factor of 85424 and 85438?

Greatest common factor (GCF) of 85424 and 85438 is 2.

GCF(85424,85438) = 2

We will now calculate the prime factors of 85424 and 85438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85424 and 85438.

How to find the GCF of 85424 and 85438?

We will first find the prime factorization of 85424 and 85438. After we will calculate the factors of 85424 and 85438 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85438

Prime factors of 85438 are 2, 42719. Prime factorization of 85438 in exponential form is:

85438 = 2¹ × 42719¹

Step-3: Factors of 85424

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

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

Step-4: Factors of 85438

List of positive integer factors of 85438 that divides 85424 without a remainder.

1, 2, 42719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85424 and 85438. The biggest common factor number is the GCF number.
So the greatest common factor 85424 and 85438 is 2.

Also check out the Least Common Multiple of 85424 and 85438