What is the Greatest Common Factor of 85810 and 85828?

Greatest common factor (GCF) of 85810 and 85828 is 2.

GCF(85810,85828) = 2

We will now calculate the prime factors of 85810 and 85828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85810 and 85828.

How to find the GCF of 85810 and 85828?

We will first find the prime factorization of 85810 and 85828. After we will calculate the factors of 85810 and 85828 and find the biggest common factor number .

Step-1: Prime Factorization of 85810

Prime factors of 85810 are 2, 5, 8581. Prime factorization of 85810 in exponential form is:

85810 = 2¹ × 5¹ × 8581¹

Step-2: Prime Factorization of 85828

Prime factors of 85828 are 2, 43, 499. Prime factorization of 85828 in exponential form is:

85828 = 2² × 43¹ × 499¹

Step-3: Factors of 85810

List of positive integer factors of 85810 that divides 85810 without a remainder.

1, 2, 5, 10, 8581, 17162, 42905

Step-4: Factors of 85828

List of positive integer factors of 85828 that divides 85810 without a remainder.

1, 2, 4, 43, 86, 172, 499, 998, 1996, 21457, 42914

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85810 and 85828. The biggest common factor number is the GCF number.
So the greatest common factor 85810 and 85828 is 2.

Also check out the Least Common Multiple of 85810 and 85828