What is the Greatest Common Factor of 85344 and 85352?

Greatest common factor (GCF) of 85344 and 85352 is 8.

GCF(85344,85352) = 8

We will now calculate the prime factors of 85344 and 85352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85344 and 85352.

How to find the GCF of 85344 and 85352?

We will first find the prime factorization of 85344 and 85352. After we will calculate the factors of 85344 and 85352 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85352

Prime factors of 85352 are 2, 47, 227. Prime factorization of 85352 in exponential form is:

85352 = 2³ × 47¹ × 227¹

Step-3: Factors of 85344

List of positive integer factors of 85344 that divides 85344 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

Step-4: Factors of 85352

List of positive integer factors of 85352 that divides 85344 without a remainder.

1, 2, 4, 8, 47, 94, 188, 227, 376, 454, 908, 1816, 10669, 21338, 42676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85344 and 85352. The biggest common factor number is the GCF number.
So the greatest common factor 85344 and 85352 is 8.

Also check out the Least Common Multiple of 85344 and 85352