What is the Greatest Common Factor of 88145 and 88162?

Greatest common factor (GCF) of 88145 and 88162 is 17.

GCF(88145,88162) = 17

We will now calculate the prime factors of 88145 and 88162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88145 and 88162.

How to find the GCF of 88145 and 88162?

We will first find the prime factorization of 88145 and 88162. After we will calculate the factors of 88145 and 88162 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 88162

Prime factors of 88162 are 2, 17, 2593. Prime factorization of 88162 in exponential form is:

88162 = 2¹ × 17¹ × 2593¹

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 88162

List of positive integer factors of 88162 that divides 88145 without a remainder.

1, 2, 17, 34, 2593, 5186, 44081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88145 and 88162. The biggest common factor number is the GCF number.
So the greatest common factor 88145 and 88162 is 17.

Also check out the Least Common Multiple of 88145 and 88162