What is the Greatest Common Factor of 75179 and 75192?

Greatest common factor (GCF) of 75179 and 75192 is 13.

GCF(75179,75192) = 13

We will now calculate the prime factors of 75179 and 75192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75179 and 75192.

How to find the GCF of 75179 and 75192?

We will first find the prime factorization of 75179 and 75192. After we will calculate the factors of 75179 and 75192 and find the biggest common factor number .

Step-1: Prime Factorization of 75179

Prime factors of 75179 are 13, 5783. Prime factorization of 75179 in exponential form is:

75179 = 13¹ × 5783¹

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 75179

List of positive integer factors of 75179 that divides 75179 without a remainder.

1, 13, 5783

Step-4: Factors of 75192

List of positive integer factors of 75192 that divides 75179 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 75179 and 75192. The biggest common factor number is the GCF number.
So the greatest common factor 75179 and 75192 is 13.

Also check out the Least Common Multiple of 75179 and 75192