What is the Greatest Common Factor of 85140 and 85152?

Greatest common factor (GCF) of 85140 and 85152 is 12.

GCF(85140,85152) = 12

We will now calculate the prime factors of 85140 and 85152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85140 and 85152.

How to find the GCF of 85140 and 85152?

We will first find the prime factorization of 85140 and 85152. After we will calculate the factors of 85140 and 85152 and find the biggest common factor number .

Step-1: Prime Factorization of 85140

Prime factors of 85140 are 2, 3, 5, 11, 43. Prime factorization of 85140 in exponential form is:

85140 = 2² × 3² × 5¹ × 11¹ × 43¹

Step-2: Prime Factorization of 85152

Prime factors of 85152 are 2, 3, 887. Prime factorization of 85152 in exponential form is:

85152 = 2⁵ × 3¹ × 887¹

Step-3: Factors of 85140

List of positive integer factors of 85140 that divides 85140 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 43, 44, 45, 55, 60, 66, 86, 90, 99, 110, 129, 132, 165, 172, 180, 198, 215, 220, 258, 330, 387, 396, 430, 473, 495, 516, 645, 660, 774, 860, 946, 990, 1290, 1419, 1548, 1892, 1935, 1980, 2365, 2580, 2838, 3870, 4257, 4730, 5676, 7095, 7740, 8514, 9460, 14190, 17028, 21285, 28380, 42570

Step-4: Factors of 85152

List of positive integer factors of 85152 that divides 85140 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 887, 1774, 2661, 3548, 5322, 7096, 10644, 14192, 21288, 28384, 42576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85140 and 85152. The biggest common factor number is the GCF number.
So the greatest common factor 85140 and 85152 is 12.

Also check out the Least Common Multiple of 85140 and 85152