What is the Greatest Common Factor of 85125 and 85140?

Greatest common factor (GCF) of 85125 and 85140 is 15.

GCF(85125,85140) = 15

We will now calculate the prime factors of 85125 and 85140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85125 and 85140.

How to find the GCF of 85125 and 85140?

We will first find the prime factorization of 85125 and 85140. After we will calculate the factors of 85125 and 85140 and find the biggest common factor number .

Step-1: Prime Factorization of 85125

Prime factors of 85125 are 3, 5, 227. Prime factorization of 85125 in exponential form is:

85125 = 3¹ × 5³ × 227¹

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 85125

List of positive integer factors of 85125 that divides 85125 without a remainder.

1, 3, 5, 15, 25, 75, 125, 227, 375, 681, 1135, 3405, 5675, 17025, 28375

Step-4: Factors of 85140

List of positive integer factors of 85140 that divides 85125 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 85125 and 85140. The biggest common factor number is the GCF number.
So the greatest common factor 85125 and 85140 is 15.

Also check out the Least Common Multiple of 85125 and 85140