What is the Greatest Common Factor of 85344 and 85354?

Greatest common factor (GCF) of 85344 and 85354 is 2.

GCF(85344,85354) = 2

We will now calculate the prime factors of 85344 and 85354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85344 and 85354.

How to find the GCF of 85344 and 85354?

We will first find the prime factorization of 85344 and 85354. After we will calculate the factors of 85344 and 85354 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 85354

Prime factors of 85354 are 2, 42677. Prime factorization of 85354 in exponential form is:

85354 = 2¹ × 42677¹

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 85354

List of positive integer factors of 85354 that divides 85344 without a remainder.

1, 2, 42677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85344 and 85354. The biggest common factor number is the GCF number.
So the greatest common factor 85344 and 85354 is 2.

Also check out the Least Common Multiple of 85344 and 85354