What is the Greatest Common Factor of 85286 and 85300?

Greatest common factor (GCF) of 85286 and 85300 is 2.

GCF(85286,85300) = 2

We will now calculate the prime factors of 85286 and 85300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85286 and 85300.

How to find the GCF of 85286 and 85300?

We will first find the prime factorization of 85286 and 85300. After we will calculate the factors of 85286 and 85300 and find the biggest common factor number .

Step-1: Prime Factorization of 85286

Prime factors of 85286 are 2, 42643. Prime factorization of 85286 in exponential form is:

85286 = 2¹ × 42643¹

Step-2: Prime Factorization of 85300

Prime factors of 85300 are 2, 5, 853. Prime factorization of 85300 in exponential form is:

85300 = 2² × 5² × 853¹

Step-3: Factors of 85286

List of positive integer factors of 85286 that divides 85286 without a remainder.

1, 2, 42643

Step-4: Factors of 85300

List of positive integer factors of 85300 that divides 85286 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 853, 1706, 3412, 4265, 8530, 17060, 21325, 42650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85286 and 85300. The biggest common factor number is the GCF number.
So the greatest common factor 85286 and 85300 is 2.

Also check out the Least Common Multiple of 85286 and 85300