What is the Greatest Common Factor of 74175 and 74188?

Greatest common factor (GCF) of 74175 and 74188 is 1.

GCF(74175,74188) = 1

We will now calculate the prime factors of 74175 and 74188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74175 and 74188.

How to find the GCF of 74175 and 74188?

We will first find the prime factorization of 74175 and 74188. After we will calculate the factors of 74175 and 74188 and find the biggest common factor number .

Step-1: Prime Factorization of 74175

Prime factors of 74175 are 3, 5, 23, 43. Prime factorization of 74175 in exponential form is:

74175 = 3¹ × 5² × 23¹ × 43¹

Step-2: Prime Factorization of 74188

Prime factors of 74188 are 2, 17, 1091. Prime factorization of 74188 in exponential form is:

74188 = 2² × 17¹ × 1091¹

Step-3: Factors of 74175

List of positive integer factors of 74175 that divides 74175 without a remainder.

1, 3, 5, 15, 23, 25, 43, 69, 75, 115, 129, 215, 345, 575, 645, 989, 1075, 1725, 2967, 3225, 4945, 14835, 24725

Step-4: Factors of 74188

List of positive integer factors of 74188 that divides 74175 without a remainder.

1, 2, 4, 17, 34, 68, 1091, 2182, 4364, 18547, 37094

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74175 and 74188. The biggest common factor number is the GCF number.
So the greatest common factor 74175 and 74188 is 1.

Also check out the Least Common Multiple of 74175 and 74188