What is the Greatest Common Factor of 83607 and 83625?

Greatest common factor (GCF) of 83607 and 83625 is 3.

GCF(83607,83625) = 3

We will now calculate the prime factors of 83607 and 83625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83607 and 83625.

How to find the GCF of 83607 and 83625?

We will first find the prime factorization of 83607 and 83625. After we will calculate the factors of 83607 and 83625 and find the biggest common factor number .

Step-1: Prime Factorization of 83607

Prime factors of 83607 are 3, 29, 31. Prime factorization of 83607 in exponential form is:

83607 = 3¹ × 29¹ × 31²

Step-2: Prime Factorization of 83625

Prime factors of 83625 are 3, 5, 223. Prime factorization of 83625 in exponential form is:

83625 = 3¹ × 5³ × 223¹

Step-3: Factors of 83607

List of positive integer factors of 83607 that divides 83607 without a remainder.

1, 3, 29, 31, 87, 93, 899, 961, 2697, 2883, 27869

Step-4: Factors of 83625

List of positive integer factors of 83625 that divides 83607 without a remainder.

1, 3, 5, 15, 25, 75, 125, 223, 375, 669, 1115, 3345, 5575, 16725, 27875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83607 and 83625. The biggest common factor number is the GCF number.
So the greatest common factor 83607 and 83625 is 3.

Also check out the Least Common Multiple of 83607 and 83625