What is the Greatest Common Factor of 85848 and 85862?

Greatest common factor (GCF) of 85848 and 85862 is 14.

GCF(85848,85862) = 14

We will now calculate the prime factors of 85848 and 85862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85848 and 85862.

How to find the GCF of 85848 and 85862?

We will first find the prime factorization of 85848 and 85862. After we will calculate the factors of 85848 and 85862 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85862

Prime factors of 85862 are 2, 7, 6133. Prime factorization of 85862 in exponential form is:

85862 = 2¹ × 7¹ × 6133¹

Step-3: Factors of 85848

List of positive integer factors of 85848 that divides 85848 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

Step-4: Factors of 85862

List of positive integer factors of 85862 that divides 85848 without a remainder.

1, 2, 7, 14, 6133, 12266, 42931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85848 and 85862. The biggest common factor number is the GCF number.
So the greatest common factor 85848 and 85862 is 14.

Also check out the Least Common Multiple of 85848 and 85862