What is the Greatest Common Factor of 83645 and 83660?

Greatest common factor (GCF) of 83645 and 83660 is 5.

GCF(83645,83660) = 5

We will now calculate the prime factors of 83645 and 83660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83645 and 83660.

How to find the GCF of 83645 and 83660?

We will first find the prime factorization of 83645 and 83660. After we will calculate the factors of 83645 and 83660 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 83660

Prime factors of 83660 are 2, 5, 47, 89. Prime factorization of 83660 in exponential form is:

83660 = 2² × 5¹ × 47¹ × 89¹

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 83660

List of positive integer factors of 83660 that divides 83645 without a remainder.

1, 2, 4, 5, 10, 20, 47, 89, 94, 178, 188, 235, 356, 445, 470, 890, 940, 1780, 4183, 8366, 16732, 20915, 41830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83645 and 83660. The biggest common factor number is the GCF number.
So the greatest common factor 83645 and 83660 is 5.

Also check out the Least Common Multiple of 83645 and 83660