What is the Greatest Common Factor of 83658 and 83666?

Greatest common factor (GCF) of 83658 and 83666 is 2.

GCF(83658,83666) = 2

We will now calculate the prime factors of 83658 and 83666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83658 and 83666.

How to find the GCF of 83658 and 83666?

We will first find the prime factorization of 83658 and 83666. After we will calculate the factors of 83658 and 83666 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83666

Prime factors of 83666 are 2, 11, 3803. Prime factorization of 83666 in exponential form is:

83666 = 2¹ × 11¹ × 3803¹

Step-3: Factors of 83658

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

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

Step-4: Factors of 83666

List of positive integer factors of 83666 that divides 83658 without a remainder.

1, 2, 11, 22, 3803, 7606, 41833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83658 and 83666. The biggest common factor number is the GCF number.
So the greatest common factor 83658 and 83666 is 2.

Also check out the Least Common Multiple of 83658 and 83666