What is the Greatest Common Factor of 85839 and 85848?

Greatest common factor (GCF) of 85839 and 85848 is 3.

GCF(85839,85848) = 3

We will now calculate the prime factors of 85839 and 85848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85839 and 85848.

How to find the GCF of 85839 and 85848?

We will first find the prime factorization of 85839 and 85848. After we will calculate the factors of 85839 and 85848 and find the biggest common factor number .

Step-1: Prime Factorization of 85839

Prime factors of 85839 are 3, 13, 31, 71. Prime factorization of 85839 in exponential form is:

85839 = 3¹ × 13¹ × 31¹ × 71¹

Step-2: Prime Factorization of 85848

Prime factors of 85848 are 2, 3, 7, 73. Prime factorization of 85848 in exponential form is:

85848 = 2³ × 3¹ × 7² × 73¹

Step-3: Factors of 85839

List of positive integer factors of 85839 that divides 85839 without a remainder.

1, 3, 13, 31, 39, 71, 93, 213, 403, 923, 1209, 2201, 2769, 6603, 28613

Step-4: Factors of 85848

List of positive integer factors of 85848 that divides 85839 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 73, 84, 98, 146, 147, 168, 196, 219, 292, 294, 392, 438, 511, 584, 588, 876, 1022, 1176, 1533, 1752, 2044, 3066, 3577, 4088, 6132, 7154, 10731, 12264, 14308, 21462, 28616, 42924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85839 and 85848. The biggest common factor number is the GCF number.
So the greatest common factor 85839 and 85848 is 3.

Also check out the Least Common Multiple of 85839 and 85848