What is the Greatest Common Factor of 85020 and 85035?

Greatest common factor (GCF) of 85020 and 85035 is 15.

GCF(85020,85035) = 15

We will now calculate the prime factors of 85020 and 85035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85020 and 85035.

How to find the GCF of 85020 and 85035?

We will first find the prime factorization of 85020 and 85035. After we will calculate the factors of 85020 and 85035 and find the biggest common factor number .

Step-1: Prime Factorization of 85020

Prime factors of 85020 are 2, 3, 5, 13, 109. Prime factorization of 85020 in exponential form is:

85020 = 2² × 3¹ × 5¹ × 13¹ × 109¹

Step-2: Prime Factorization of 85035

Prime factors of 85035 are 3, 5, 5669. Prime factorization of 85035 in exponential form is:

85035 = 3¹ × 5¹ × 5669¹

Step-3: Factors of 85020

List of positive integer factors of 85020 that divides 85020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 109, 130, 156, 195, 218, 260, 327, 390, 436, 545, 654, 780, 1090, 1308, 1417, 1635, 2180, 2834, 3270, 4251, 5668, 6540, 7085, 8502, 14170, 17004, 21255, 28340, 42510

Step-4: Factors of 85035

List of positive integer factors of 85035 that divides 85020 without a remainder.

1, 3, 5, 15, 5669, 17007, 28345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85020 and 85035. The biggest common factor number is the GCF number.
So the greatest common factor 85020 and 85035 is 15.

Also check out the Least Common Multiple of 85020 and 85035