What is the Greatest Common Factor of 75435 and 75444?

Greatest common factor (GCF) of 75435 and 75444 is 3.

GCF(75435,75444) = 3

We will now calculate the prime factors of 75435 and 75444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75435 and 75444.

How to find the GCF of 75435 and 75444?

We will first find the prime factorization of 75435 and 75444. After we will calculate the factors of 75435 and 75444 and find the biggest common factor number .

Step-1: Prime Factorization of 75435

Prime factors of 75435 are 3, 5, 47, 107. Prime factorization of 75435 in exponential form is:

75435 = 3¹ × 5¹ × 47¹ × 107¹

Step-2: Prime Factorization of 75444

Prime factors of 75444 are 2, 3, 6287. Prime factorization of 75444 in exponential form is:

75444 = 2² × 3¹ × 6287¹

Step-3: Factors of 75435

List of positive integer factors of 75435 that divides 75435 without a remainder.

1, 3, 5, 15, 47, 107, 141, 235, 321, 535, 705, 1605, 5029, 15087, 25145

Step-4: Factors of 75444

List of positive integer factors of 75444 that divides 75435 without a remainder.

1, 2, 3, 4, 6, 12, 6287, 12574, 18861, 25148, 37722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75435 and 75444. The biggest common factor number is the GCF number.
So the greatest common factor 75435 and 75444 is 3.

Also check out the Least Common Multiple of 75435 and 75444