What is the Greatest Common Factor of 75188 and 75192?

Greatest common factor (GCF) of 75188 and 75192 is 4.

GCF(75188,75192) = 4

We will now calculate the prime factors of 75188 and 75192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75188 and 75192.

How to find the GCF of 75188 and 75192?

We will first find the prime factorization of 75188 and 75192. After we will calculate the factors of 75188 and 75192 and find the biggest common factor number .

Step-1: Prime Factorization of 75188

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

75188 = 2² × 18797¹

Step-2: Prime Factorization of 75192

Prime factors of 75192 are 2, 3, 13, 241. Prime factorization of 75192 in exponential form is:

75192 = 2³ × 3¹ × 13¹ × 241¹

Step-3: Factors of 75188

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

1, 2, 4, 18797, 37594

Step-4: Factors of 75192

List of positive integer factors of 75192 that divides 75188 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 241, 312, 482, 723, 964, 1446, 1928, 2892, 3133, 5784, 6266, 9399, 12532, 18798, 25064, 37596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75188 and 75192. The biggest common factor number is the GCF number.
So the greatest common factor 75188 and 75192 is 4.

Also check out the Least Common Multiple of 75188 and 75192