What is the Greatest Common Factor of 70173 and 70188?

Greatest common factor (GCF) of 70173 and 70188 is 3.

GCF(70173,70188) = 3

We will now calculate the prime factors of 70173 and 70188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70173 and 70188.

How to find the GCF of 70173 and 70188?

We will first find the prime factorization of 70173 and 70188. After we will calculate the factors of 70173 and 70188 and find the biggest common factor number .

Step-1: Prime Factorization of 70173

Prime factors of 70173 are 3, 23, 113. Prime factorization of 70173 in exponential form is:

70173 = 3³ × 23¹ × 113¹

Step-2: Prime Factorization of 70188

Prime factors of 70188 are 2, 3, 5849. Prime factorization of 70188 in exponential form is:

70188 = 2² × 3¹ × 5849¹

Step-3: Factors of 70173

List of positive integer factors of 70173 that divides 70173 without a remainder.

1, 3, 9, 23, 27, 69, 113, 207, 339, 621, 1017, 2599, 3051, 7797, 23391

Step-4: Factors of 70188

List of positive integer factors of 70188 that divides 70173 without a remainder.

1, 2, 3, 4, 6, 12, 5849, 11698, 17547, 23396, 35094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70173 and 70188. The biggest common factor number is the GCF number.
So the greatest common factor 70173 and 70188 is 3.

Also check out the Least Common Multiple of 70173 and 70188