What is the Greatest Common Factor of 83625 and 83629?

Greatest common factor (GCF) of 83625 and 83629 is 1.

GCF(83625,83629) = 1

We will now calculate the prime factors of 83625 and 83629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83625 and 83629.

How to find the GCF of 83625 and 83629?

We will first find the prime factorization of 83625 and 83629. After we will calculate the factors of 83625 and 83629 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 83629

Prime factors of 83629 are 7, 13, 919. Prime factorization of 83629 in exponential form is:

83629 = 7¹ × 13¹ × 919¹

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 83629

List of positive integer factors of 83629 that divides 83625 without a remainder.

1, 7, 13, 91, 919, 6433, 11947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83625 and 83629. The biggest common factor number is the GCF number.
So the greatest common factor 83625 and 83629 is 1.

Also check out the Least Common Multiple of 83625 and 83629