What is the Greatest Common Factor of 83265 and 83278?

Greatest common factor (GCF) of 83265 and 83278 is 13.

GCF(83265,83278) = 13

We will now calculate the prime factors of 83265 and 83278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83265 and 83278.

How to find the GCF of 83265 and 83278?

We will first find the prime factorization of 83265 and 83278. After we will calculate the factors of 83265 and 83278 and find the biggest common factor number .

Step-1: Prime Factorization of 83265

Prime factors of 83265 are 3, 5, 7, 13, 61. Prime factorization of 83265 in exponential form is:

83265 = 3¹ × 5¹ × 7¹ × 13¹ × 61¹

Step-2: Prime Factorization of 83278

Prime factors of 83278 are 2, 13, 3203. Prime factorization of 83278 in exponential form is:

83278 = 2¹ × 13¹ × 3203¹

Step-3: Factors of 83265

List of positive integer factors of 83265 that divides 83265 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 61, 65, 91, 105, 183, 195, 273, 305, 427, 455, 793, 915, 1281, 1365, 2135, 2379, 3965, 5551, 6405, 11895, 16653, 27755

Step-4: Factors of 83278

List of positive integer factors of 83278 that divides 83265 without a remainder.

1, 2, 13, 26, 3203, 6406, 41639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83265 and 83278. The biggest common factor number is the GCF number.
So the greatest common factor 83265 and 83278 is 13.

Also check out the Least Common Multiple of 83265 and 83278