What is the Greatest Common Factor of 88145 and 88155?

Greatest common factor (GCF) of 88145 and 88155 is 5.

GCF(88145,88155) = 5

We will now calculate the prime factors of 88145 and 88155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88145 and 88155.

How to find the GCF of 88145 and 88155?

We will first find the prime factorization of 88145 and 88155. After we will calculate the factors of 88145 and 88155 and find the biggest common factor number .

Step-1: Prime Factorization of 88145

Prime factors of 88145 are 5, 17, 61. Prime factorization of 88145 in exponential form is:

88145 = 5¹ × 17² × 61¹

Step-2: Prime Factorization of 88155

Prime factors of 88155 are 3, 5, 653. Prime factorization of 88155 in exponential form is:

88155 = 3³ × 5¹ × 653¹

Step-3: Factors of 88145

List of positive integer factors of 88145 that divides 88145 without a remainder.

1, 5, 17, 61, 85, 289, 305, 1037, 1445, 5185, 17629

Step-4: Factors of 88155

List of positive integer factors of 88155 that divides 88145 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 653, 1959, 3265, 5877, 9795, 17631, 29385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88145 and 88155. The biggest common factor number is the GCF number.
So the greatest common factor 88145 and 88155 is 5.

Also check out the Least Common Multiple of 88145 and 88155