What is the Greatest Common Factor of 85813 and 85820?

Greatest common factor (GCF) of 85813 and 85820 is 7.

GCF(85813,85820) = 7

We will now calculate the prime factors of 85813 and 85820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85813 and 85820.

How to find the GCF of 85813 and 85820?

We will first find the prime factorization of 85813 and 85820. After we will calculate the factors of 85813 and 85820 and find the biggest common factor number .

Step-1: Prime Factorization of 85813

Prime factors of 85813 are 7, 13, 23, 41. Prime factorization of 85813 in exponential form is:

85813 = 7¹ × 13¹ × 23¹ × 41¹

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 85813

List of positive integer factors of 85813 that divides 85813 without a remainder.

1, 7, 13, 23, 41, 91, 161, 287, 299, 533, 943, 2093, 3731, 6601, 12259

Step-4: Factors of 85820

List of positive integer factors of 85820 that divides 85813 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 85813 and 85820. The biggest common factor number is the GCF number.
So the greatest common factor 85813 and 85820 is 7.

Also check out the Least Common Multiple of 85813 and 85820