What is the Greatest Common Factor of 83603 and 83616?

Greatest common factor (GCF) of 83603 and 83616 is 13.

GCF(83603,83616) = 13

We will now calculate the prime factors of 83603 and 83616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83603 and 83616.

How to find the GCF of 83603 and 83616?

We will first find the prime factorization of 83603 and 83616. After we will calculate the factors of 83603 and 83616 and find the biggest common factor number .

Step-1: Prime Factorization of 83603

Prime factors of 83603 are 13, 59, 109. Prime factorization of 83603 in exponential form is:

83603 = 13¹ × 59¹ × 109¹

Step-2: Prime Factorization of 83616

Prime factors of 83616 are 2, 3, 13, 67. Prime factorization of 83616 in exponential form is:

83616 = 2⁵ × 3¹ × 13¹ × 67¹

Step-3: Factors of 83603

List of positive integer factors of 83603 that divides 83603 without a remainder.

1, 13, 59, 109, 767, 1417, 6431

Step-4: Factors of 83616

List of positive integer factors of 83616 that divides 83603 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 67, 78, 96, 104, 134, 156, 201, 208, 268, 312, 402, 416, 536, 624, 804, 871, 1072, 1248, 1608, 1742, 2144, 2613, 3216, 3484, 5226, 6432, 6968, 10452, 13936, 20904, 27872, 41808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83603 and 83616. The biggest common factor number is the GCF number.
So the greatest common factor 83603 and 83616 is 13.

Also check out the Least Common Multiple of 83603 and 83616