What is the Greatest Common Factor of 85344 and 85349?

Greatest common factor (GCF) of 85344 and 85349 is 1.

GCF(85344,85349) = 1

We will now calculate the prime factors of 85344 and 85349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85344 and 85349.

How to find the GCF of 85344 and 85349?

We will first find the prime factorization of 85344 and 85349. After we will calculate the factors of 85344 and 85349 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 85349

Prime factors of 85349 are 11, 7759. Prime factorization of 85349 in exponential form is:

85349 = 11¹ × 7759¹

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 85349

List of positive integer factors of 85349 that divides 85344 without a remainder.

1, 11, 7759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85344 and 85349. The biggest common factor number is the GCF number.
So the greatest common factor 85344 and 85349 is 1.

Also check out the Least Common Multiple of 85344 and 85349