What is the Greatest Common Factor of 88185 and 88203?

Greatest common factor (GCF) of 88185 and 88203 is 3.

GCF(88185,88203) = 3

We will now calculate the prime factors of 88185 and 88203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88185 and 88203.

How to find the GCF of 88185 and 88203?

We will first find the prime factorization of 88185 and 88203. After we will calculate the factors of 88185 and 88203 and find the biggest common factor number .

Step-1: Prime Factorization of 88185

Prime factors of 88185 are 3, 5, 5879. Prime factorization of 88185 in exponential form is:

88185 = 3¹ × 5¹ × 5879¹

Step-2: Prime Factorization of 88203

Prime factors of 88203 are 3, 29401. Prime factorization of 88203 in exponential form is:

88203 = 3¹ × 29401¹

Step-3: Factors of 88185

List of positive integer factors of 88185 that divides 88185 without a remainder.

1, 3, 5, 15, 5879, 17637, 29395

Step-4: Factors of 88203

List of positive integer factors of 88203 that divides 88185 without a remainder.

1, 3, 29401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88185 and 88203. The biggest common factor number is the GCF number.
So the greatest common factor 88185 and 88203 is 3.

Also check out the Least Common Multiple of 88185 and 88203