What is the Greatest Common Factor of 88168 and 88180?

Greatest common factor (GCF) of 88168 and 88180 is 4.

GCF(88168,88180) = 4

We will now calculate the prime factors of 88168 and 88180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88168 and 88180.

How to find the GCF of 88168 and 88180?

We will first find the prime factorization of 88168 and 88180. After we will calculate the factors of 88168 and 88180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88180

Prime factors of 88180 are 2, 5, 4409. Prime factorization of 88180 in exponential form is:

88180 = 2² × 5¹ × 4409¹

Step-3: Factors of 88168

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

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

Step-4: Factors of 88180

List of positive integer factors of 88180 that divides 88168 without a remainder.

1, 2, 4, 5, 10, 20, 4409, 8818, 17636, 22045, 44090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88168 and 88180. The biggest common factor number is the GCF number.
So the greatest common factor 88168 and 88180 is 4.

Also check out the Least Common Multiple of 88168 and 88180