What is the Greatest Common Factor of 85128 and 85140?

Greatest common factor (GCF) of 85128 and 85140 is 12.

GCF(85128,85140) = 12

We will now calculate the prime factors of 85128 and 85140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85128 and 85140.

How to find the GCF of 85128 and 85140?

We will first find the prime factorization of 85128 and 85140. After we will calculate the factors of 85128 and 85140 and find the biggest common factor number .

Step-1: Prime Factorization of 85128

Prime factors of 85128 are 2, 3, 3547. Prime factorization of 85128 in exponential form is:

85128 = 2³ × 3¹ × 3547¹

Step-2: 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-3: Factors of 85128

List of positive integer factors of 85128 that divides 85128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3547, 7094, 10641, 14188, 21282, 28376, 42564

Step-4: Factors of 85140

List of positive integer factors of 85140 that divides 85128 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85128 and 85140. The biggest common factor number is the GCF number.
So the greatest common factor 85128 and 85140 is 12.

Also check out the Least Common Multiple of 85128 and 85140