What is the Greatest Common Factor of 75435 and 75452?

Greatest common factor (GCF) of 75435 and 75452 is 1.

GCF(75435,75452) = 1

We will now calculate the prime factors of 75435 and 75452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75435 and 75452.

How to find the GCF of 75435 and 75452?

We will first find the prime factorization of 75435 and 75452. After we will calculate the factors of 75435 and 75452 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 75452

Prime factors of 75452 are 2, 13, 1451. Prime factorization of 75452 in exponential form is:

75452 = 2² × 13¹ × 1451¹

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 75452

List of positive integer factors of 75452 that divides 75435 without a remainder.

1, 2, 4, 13, 26, 52, 1451, 2902, 5804, 18863, 37726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75435 and 75452. The biggest common factor number is the GCF number.
So the greatest common factor 75435 and 75452 is 1.

Also check out the Least Common Multiple of 75435 and 75452