What is the Greatest Common Factor of 88162 and 88168?

Greatest common factor (GCF) of 88162 and 88168 is 2.

GCF(88162,88168) = 2

We will now calculate the prime factors of 88162 and 88168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88162 and 88168.

How to find the GCF of 88162 and 88168?

We will first find the prime factorization of 88162 and 88168. After we will calculate the factors of 88162 and 88168 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88168

Prime factors of 88168 are 2, 103, 107. Prime factorization of 88168 in exponential form is:

88168 = 2³ × 103¹ × 107¹

Step-3: Factors of 88162

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

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

Step-4: Factors of 88168

List of positive integer factors of 88168 that divides 88162 without a remainder.

1, 2, 4, 8, 103, 107, 206, 214, 412, 428, 824, 856, 11021, 22042, 44084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88162 and 88168. The biggest common factor number is the GCF number.
So the greatest common factor 88162 and 88168 is 2.

Also check out the Least Common Multiple of 88162 and 88168