What is the Greatest Common Factor of 75339 and 75354?

Greatest common factor (GCF) of 75339 and 75354 is 3.

GCF(75339,75354) = 3

We will now calculate the prime factors of 75339 and 75354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75339 and 75354.

How to find the GCF of 75339 and 75354?

We will first find the prime factorization of 75339 and 75354. After we will calculate the factors of 75339 and 75354 and find the biggest common factor number .

Step-1: Prime Factorization of 75339

Prime factors of 75339 are 3, 11, 761. Prime factorization of 75339 in exponential form is:

75339 = 3² × 11¹ × 761¹

Step-2: Prime Factorization of 75354

Prime factors of 75354 are 2, 3, 19, 661. Prime factorization of 75354 in exponential form is:

75354 = 2¹ × 3¹ × 19¹ × 661¹

Step-3: Factors of 75339

List of positive integer factors of 75339 that divides 75339 without a remainder.

1, 3, 9, 11, 33, 99, 761, 2283, 6849, 8371, 25113

Step-4: Factors of 75354

List of positive integer factors of 75354 that divides 75339 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 661, 1322, 1983, 3966, 12559, 25118, 37677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75339 and 75354. The biggest common factor number is the GCF number.
So the greatest common factor 75339 and 75354 is 3.

Also check out the Least Common Multiple of 75339 and 75354