What is the Greatest Common Factor of 75528 and 75535?

Greatest common factor (GCF) of 75528 and 75535 is 1.

GCF(75528,75535) = 1

We will now calculate the prime factors of 75528 and 75535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75528 and 75535.

How to find the GCF of 75528 and 75535?

We will first find the prime factorization of 75528 and 75535. After we will calculate the factors of 75528 and 75535 and find the biggest common factor number .

Step-1: Prime Factorization of 75528

Prime factors of 75528 are 2, 3, 1049. Prime factorization of 75528 in exponential form is:

75528 = 2³ × 3² × 1049¹

Step-2: Prime Factorization of 75535

Prime factors of 75535 are 5, 15107. Prime factorization of 75535 in exponential form is:

75535 = 5¹ × 15107¹

Step-3: Factors of 75528

List of positive integer factors of 75528 that divides 75528 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1049, 2098, 3147, 4196, 6294, 8392, 9441, 12588, 18882, 25176, 37764

Step-4: Factors of 75535

List of positive integer factors of 75535 that divides 75528 without a remainder.

1, 5, 15107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75528 and 75535. The biggest common factor number is the GCF number.
So the greatest common factor 75528 and 75535 is 1.

Also check out the Least Common Multiple of 75528 and 75535