What is the Greatest Common Factor of 85302 and 85309?

Greatest common factor (GCF) of 85302 and 85309 is 7.

GCF(85302,85309) = 7

We will now calculate the prime factors of 85302 and 85309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85302 and 85309.

How to find the GCF of 85302 and 85309?

We will first find the prime factorization of 85302 and 85309. After we will calculate the factors of 85302 and 85309 and find the biggest common factor number .

Step-1: Prime Factorization of 85302

Prime factors of 85302 are 2, 3, 7, 677. Prime factorization of 85302 in exponential form is:

85302 = 2¹ × 3² × 7¹ × 677¹

Step-2: Prime Factorization of 85309

Prime factors of 85309 are 7, 1741. Prime factorization of 85309 in exponential form is:

85309 = 7² × 1741¹

Step-3: Factors of 85302

List of positive integer factors of 85302 that divides 85302 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 677, 1354, 2031, 4062, 4739, 6093, 9478, 12186, 14217, 28434, 42651

Step-4: Factors of 85309

List of positive integer factors of 85309 that divides 85302 without a remainder.

1, 7, 49, 1741, 12187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85302 and 85309. The biggest common factor number is the GCF number.
So the greatest common factor 85302 and 85309 is 7.

Also check out the Least Common Multiple of 85302 and 85309