What is the Greatest Common Factor of 75531 and 75548?

Greatest common factor (GCF) of 75531 and 75548 is 17.

GCF(75531,75548) = 17

We will now calculate the prime factors of 75531 and 75548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75531 and 75548.

How to find the GCF of 75531 and 75548?

We will first find the prime factorization of 75531 and 75548. After we will calculate the factors of 75531 and 75548 and find the biggest common factor number .

Step-1: Prime Factorization of 75531

Prime factors of 75531 are 3, 17, 1481. Prime factorization of 75531 in exponential form is:

75531 = 3¹ × 17¹ × 1481¹

Step-2: Prime Factorization of 75548

Prime factors of 75548 are 2, 11, 17, 101. Prime factorization of 75548 in exponential form is:

75548 = 2² × 11¹ × 17¹ × 101¹

Step-3: Factors of 75531

List of positive integer factors of 75531 that divides 75531 without a remainder.

1, 3, 17, 51, 1481, 4443, 25177

Step-4: Factors of 75548

List of positive integer factors of 75548 that divides 75531 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 101, 187, 202, 374, 404, 748, 1111, 1717, 2222, 3434, 4444, 6868, 18887, 37774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75531 and 75548. The biggest common factor number is the GCF number.
So the greatest common factor 75531 and 75548 is 17.

Also check out the Least Common Multiple of 75531 and 75548