What is the Greatest Common Factor of 70188 and 70192?

Greatest common factor (GCF) of 70188 and 70192 is 4.

GCF(70188,70192) = 4

We will now calculate the prime factors of 70188 and 70192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70188 and 70192.

How to find the GCF of 70188 and 70192?

We will first find the prime factorization of 70188 and 70192. After we will calculate the factors of 70188 and 70192 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70192

Prime factors of 70192 are 2, 41, 107. Prime factorization of 70192 in exponential form is:

70192 = 2⁴ × 41¹ × 107¹

Step-3: Factors of 70188

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

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

Step-4: Factors of 70192

List of positive integer factors of 70192 that divides 70188 without a remainder.

1, 2, 4, 8, 16, 41, 82, 107, 164, 214, 328, 428, 656, 856, 1712, 4387, 8774, 17548, 35096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70188 and 70192. The biggest common factor number is the GCF number.
So the greatest common factor 70188 and 70192 is 4.

Also check out the Least Common Multiple of 70188 and 70192