What is the Greatest Common Factor of 83645 and 83662?

Greatest common factor (GCF) of 83645 and 83662 is 1.

GCF(83645,83662) = 1

We will now calculate the prime factors of 83645 and 83662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83645 and 83662.

How to find the GCF of 83645 and 83662?

We will first find the prime factorization of 83645 and 83662. After we will calculate the factors of 83645 and 83662 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 83662

Prime factors of 83662 are 2, 59, 709. Prime factorization of 83662 in exponential form is:

83662 = 2¹ × 59¹ × 709¹

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 83662

List of positive integer factors of 83662 that divides 83645 without a remainder.

1, 2, 59, 118, 709, 1418, 41831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83645 and 83662. The biggest common factor number is the GCF number.
So the greatest common factor 83645 and 83662 is 1.

Also check out the Least Common Multiple of 83645 and 83662