What is the Greatest Common Factor of 83645 and 83658?

Greatest common factor (GCF) of 83645 and 83658 is 1.

GCF(83645,83658) = 1

We will now calculate the prime factors of 83645 and 83658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83645 and 83658.

How to find the GCF of 83645 and 83658?

We will first find the prime factorization of 83645 and 83658. After we will calculate the factors of 83645 and 83658 and find the biggest common factor number .

Step-1: Prime Factorization of 83645

Prime factors of 83645 are 5, 16729. Prime factorization of 83645 in exponential form is:

83645 = 5¹ × 16729¹

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 83645

List of positive integer factors of 83645 that divides 83645 without a remainder.

1, 5, 16729

Step-4: Factors of 83658

List of positive integer factors of 83658 that divides 83645 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 83645 and 83658. The biggest common factor number is the GCF number.
So the greatest common factor 83645 and 83658 is 1.

Also check out the Least Common Multiple of 83645 and 83658