What is the Greatest Common Factor of 83625 and 83630?

Greatest common factor (GCF) of 83625 and 83630 is 5.

GCF(83625,83630) = 5

We will now calculate the prime factors of 83625 and 83630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83625 and 83630.

How to find the GCF of 83625 and 83630?

We will first find the prime factorization of 83625 and 83630. After we will calculate the factors of 83625 and 83630 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83630

Prime factors of 83630 are 2, 5, 8363. Prime factorization of 83630 in exponential form is:

83630 = 2¹ × 5¹ × 8363¹

Step-3: Factors of 83625

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

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

Step-4: Factors of 83630

List of positive integer factors of 83630 that divides 83625 without a remainder.

1, 2, 5, 10, 8363, 16726, 41815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83625 and 83630. The biggest common factor number is the GCF number.
So the greatest common factor 83625 and 83630 is 5.

Also check out the Least Common Multiple of 83625 and 83630