What is the Greatest Common Factor of 83616 and 83627?

Greatest common factor (GCF) of 83616 and 83627 is 1.

GCF(83616,83627) = 1

We will now calculate the prime factors of 83616 and 83627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83616 and 83627.

How to find the GCF of 83616 and 83627?

We will first find the prime factorization of 83616 and 83627. After we will calculate the factors of 83616 and 83627 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 83627

Prime factors of 83627 are 241, 347. Prime factorization of 83627 in exponential form is:

83627 = 241¹ × 347¹

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 83627

List of positive integer factors of 83627 that divides 83616 without a remainder.

1, 241, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83616 and 83627. The biggest common factor number is the GCF number.
So the greatest common factor 83616 and 83627 is 1.

Also check out the Least Common Multiple of 83616 and 83627