What is the Greatest Common Factor of 85813 and 85827?

Greatest common factor (GCF) of 85813 and 85827 is 7.

GCF(85813,85827) = 7

We will now calculate the prime factors of 85813 and 85827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85813 and 85827.

How to find the GCF of 85813 and 85827?

We will first find the prime factorization of 85813 and 85827. After we will calculate the factors of 85813 and 85827 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 85827

Prime factors of 85827 are 3, 7, 61, 67. Prime factorization of 85827 in exponential form is:

85827 = 3¹ × 7¹ × 61¹ × 67¹

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 85827

List of positive integer factors of 85827 that divides 85813 without a remainder.

1, 3, 7, 21, 61, 67, 183, 201, 427, 469, 1281, 1407, 4087, 12261, 28609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85813 and 85827. The biggest common factor number is the GCF number.
So the greatest common factor 85813 and 85827 is 7.

Also check out the Least Common Multiple of 85813 and 85827