What is the Greatest Common Factor of 88178 and 88188?

Greatest common factor (GCF) of 88178 and 88188 is 2.

GCF(88178,88188) = 2

We will now calculate the prime factors of 88178 and 88188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88178 and 88188.

How to find the GCF of 88178 and 88188?

We will first find the prime factorization of 88178 and 88188. After we will calculate the factors of 88178 and 88188 and find the biggest common factor number .

Step-1: Prime Factorization of 88178

Prime factors of 88178 are 2, 44089. Prime factorization of 88178 in exponential form is:

88178 = 2¹ × 44089¹

Step-2: Prime Factorization of 88188

Prime factors of 88188 are 2, 3, 7349. Prime factorization of 88188 in exponential form is:

88188 = 2² × 3¹ × 7349¹

Step-3: Factors of 88178

List of positive integer factors of 88178 that divides 88178 without a remainder.

1, 2, 44089

Step-4: Factors of 88188

List of positive integer factors of 88188 that divides 88178 without a remainder.

1, 2, 3, 4, 6, 12, 7349, 14698, 22047, 29396, 44094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88178 and 88188. The biggest common factor number is the GCF number.
So the greatest common factor 88178 and 88188 is 2.

Also check out the Least Common Multiple of 88178 and 88188