What is the Greatest Common Factor of 83616 and 83636?

Greatest common factor (GCF) of 83616 and 83636 is 4.

GCF(83616,83636) = 4

We will now calculate the prime factors of 83616 and 83636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83616 and 83636.

How to find the GCF of 83616 and 83636?

We will first find the prime factorization of 83616 and 83636. After we will calculate the factors of 83616 and 83636 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83636

Prime factors of 83636 are 2, 7, 29, 103. Prime factorization of 83636 in exponential form is:

83636 = 2² × 7¹ × 29¹ × 103¹

Step-3: Factors of 83616

List of positive integer factors of 83616 that divides 83616 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

Step-4: Factors of 83636

List of positive integer factors of 83636 that divides 83616 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 103, 116, 203, 206, 406, 412, 721, 812, 1442, 2884, 2987, 5974, 11948, 20909, 41818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83616 and 83636. The biggest common factor number is the GCF number.
So the greatest common factor 83616 and 83636 is 4.

Also check out the Least Common Multiple of 83616 and 83636