What is the Greatest Common Factor of 85814 and 85820?

Greatest common factor (GCF) of 85814 and 85820 is 2.

GCF(85814,85820) = 2

We will now calculate the prime factors of 85814 and 85820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85814 and 85820.

How to find the GCF of 85814 and 85820?

We will first find the prime factorization of 85814 and 85820. After we will calculate the factors of 85814 and 85820 and find the biggest common factor number .

Step-1: Prime Factorization of 85814

Prime factors of 85814 are 2, 107, 401. Prime factorization of 85814 in exponential form is:

85814 = 2¹ × 107¹ × 401¹

Step-2: Prime Factorization of 85820

Prime factors of 85820 are 2, 5, 7, 613. Prime factorization of 85820 in exponential form is:

85820 = 2² × 5¹ × 7¹ × 613¹

Step-3: Factors of 85814

List of positive integer factors of 85814 that divides 85814 without a remainder.

1, 2, 107, 214, 401, 802, 42907

Step-4: Factors of 85820

List of positive integer factors of 85820 that divides 85814 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 613, 1226, 2452, 3065, 4291, 6130, 8582, 12260, 17164, 21455, 42910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85814 and 85820. The biggest common factor number is the GCF number.
So the greatest common factor 85814 and 85820 is 2.

Also check out the Least Common Multiple of 85814 and 85820