What is the Greatest Common Factor of 85424 and 85440?

Greatest common factor (GCF) of 85424 and 85440 is 16.

GCF(85424,85440) = 16

We will now calculate the prime factors of 85424 and 85440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85424 and 85440.

How to find the GCF of 85424 and 85440?

We will first find the prime factorization of 85424 and 85440. After we will calculate the factors of 85424 and 85440 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 85440

Prime factors of 85440 are 2, 3, 5, 89. Prime factorization of 85440 in exponential form is:

85440 = 2⁶ × 3¹ × 5¹ × 89¹

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 85440

List of positive integer factors of 85440 that divides 85424 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 89, 96, 120, 160, 178, 192, 240, 267, 320, 356, 445, 480, 534, 712, 890, 960, 1068, 1335, 1424, 1780, 2136, 2670, 2848, 3560, 4272, 5340, 5696, 7120, 8544, 10680, 14240, 17088, 21360, 28480, 42720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85424 and 85440. The biggest common factor number is the GCF number.
So the greatest common factor 85424 and 85440 is 16.

Also check out the Least Common Multiple of 85424 and 85440