What is the Greatest Common Factor of 75170 and 75188?

Greatest common factor (GCF) of 75170 and 75188 is 2.

GCF(75170,75188) = 2

We will now calculate the prime factors of 75170 and 75188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75170 and 75188.

How to find the GCF of 75170 and 75188?

We will first find the prime factorization of 75170 and 75188. After we will calculate the factors of 75170 and 75188 and find the biggest common factor number .

Step-1: Prime Factorization of 75170

Prime factors of 75170 are 2, 5, 7517. Prime factorization of 75170 in exponential form is:

75170 = 2¹ × 5¹ × 7517¹

Step-2: Prime Factorization of 75188

Prime factors of 75188 are 2, 18797. Prime factorization of 75188 in exponential form is:

75188 = 2² × 18797¹

Step-3: Factors of 75170

List of positive integer factors of 75170 that divides 75170 without a remainder.

1, 2, 5, 10, 7517, 15034, 37585

Step-4: Factors of 75188

List of positive integer factors of 75188 that divides 75170 without a remainder.

1, 2, 4, 18797, 37594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75170 and 75188. The biggest common factor number is the GCF number.
So the greatest common factor 75170 and 75188 is 2.

Also check out the Least Common Multiple of 75170 and 75188