What is the Greatest Common Factor of 85335 and 85344?

Greatest common factor (GCF) of 85335 and 85344 is 3.

GCF(85335,85344) = 3

We will now calculate the prime factors of 85335 and 85344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85335 and 85344.

How to find the GCF of 85335 and 85344?

We will first find the prime factorization of 85335 and 85344. After we will calculate the factors of 85335 and 85344 and find the biggest common factor number .

Step-1: Prime Factorization of 85335

Prime factors of 85335 are 3, 5, 5689. Prime factorization of 85335 in exponential form is:

85335 = 3¹ × 5¹ × 5689¹

Step-2: Prime Factorization of 85344

Prime factors of 85344 are 2, 3, 7, 127. Prime factorization of 85344 in exponential form is:

85344 = 2⁵ × 3¹ × 7¹ × 127¹

Step-3: Factors of 85335

List of positive integer factors of 85335 that divides 85335 without a remainder.

1, 3, 5, 15, 5689, 17067, 28445

Step-4: Factors of 85344

List of positive integer factors of 85344 that divides 85335 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 127, 168, 224, 254, 336, 381, 508, 672, 762, 889, 1016, 1524, 1778, 2032, 2667, 3048, 3556, 4064, 5334, 6096, 7112, 10668, 12192, 14224, 21336, 28448, 42672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85335 and 85344. The biggest common factor number is the GCF number.
So the greatest common factor 85335 and 85344 is 3.

Also check out the Least Common Multiple of 85335 and 85344