What is the Greatest Common Factor of 83636 and 83648?

Greatest common factor (GCF) of 83636 and 83648 is 4.

GCF(83636,83648) = 4

We will now calculate the prime factors of 83636 and 83648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83636 and 83648.

How to find the GCF of 83636 and 83648?

We will first find the prime factorization of 83636 and 83648. After we will calculate the factors of 83636 and 83648 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83648

Prime factors of 83648 are 2, 1307. Prime factorization of 83648 in exponential form is:

83648 = 2⁶ × 1307¹

Step-3: Factors of 83636

List of positive integer factors of 83636 that divides 83636 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

Step-4: Factors of 83648

List of positive integer factors of 83648 that divides 83636 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1307, 2614, 5228, 10456, 20912, 41824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83636 and 83648. The biggest common factor number is the GCF number.
So the greatest common factor 83636 and 83648 is 4.

Also check out the Least Common Multiple of 83636 and 83648