What is the Greatest Common Factor of 85850 and 85862?

Greatest common factor (GCF) of 85850 and 85862 is 2.

GCF(85850,85862) = 2

We will now calculate the prime factors of 85850 and 85862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85850 and 85862.

How to find the GCF of 85850 and 85862?

We will first find the prime factorization of 85850 and 85862. After we will calculate the factors of 85850 and 85862 and find the biggest common factor number .

Step-1: Prime Factorization of 85850

Prime factors of 85850 are 2, 5, 17, 101. Prime factorization of 85850 in exponential form is:

85850 = 2¹ × 5² × 17¹ × 101¹

Step-2: Prime Factorization of 85862

Prime factors of 85862 are 2, 7, 6133. Prime factorization of 85862 in exponential form is:

85862 = 2¹ × 7¹ × 6133¹

Step-3: Factors of 85850

List of positive integer factors of 85850 that divides 85850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 101, 170, 202, 425, 505, 850, 1010, 1717, 2525, 3434, 5050, 8585, 17170, 42925

Step-4: Factors of 85862

List of positive integer factors of 85862 that divides 85850 without a remainder.

1, 2, 7, 14, 6133, 12266, 42931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85850 and 85862. The biggest common factor number is the GCF number.
So the greatest common factor 85850 and 85862 is 2.

Also check out the Least Common Multiple of 85850 and 85862