What is the Greatest Common Factor of 83648 and 83658?

Greatest common factor (GCF) of 83648 and 83658 is 2.

GCF(83648,83658) = 2

We will now calculate the prime factors of 83648 and 83658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83648 and 83658.

How to find the GCF of 83648 and 83658?

We will first find the prime factorization of 83648 and 83658. After we will calculate the factors of 83648 and 83658 and find the biggest common factor number .

Step-1: Prime Factorization of 83648

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

83648 = 2⁶ × 1307¹

Step-2: Prime Factorization of 83658

Prime factors of 83658 are 2, 3, 73, 191. Prime factorization of 83658 in exponential form is:

83658 = 2¹ × 3¹ × 73¹ × 191¹

Step-3: Factors of 83648

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

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

Step-4: Factors of 83658

List of positive integer factors of 83658 that divides 83648 without a remainder.

1, 2, 3, 6, 73, 146, 191, 219, 382, 438, 573, 1146, 13943, 27886, 41829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83648 and 83658. The biggest common factor number is the GCF number.
So the greatest common factor 83648 and 83658 is 2.

Also check out the Least Common Multiple of 83648 and 83658