GCF and LCM Calculator Logo

What is the Greatest Common Factor of 75525 and 75534?

Greatest common factor (GCF) of 75525 and 75534 is 3.

GCF(75525,75534) = 3

We will now calculate the prime factors of 75525 and 75534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75525 and 75534.

GCF Calculator and
and

How to find the GCF of 75525 and 75534?

We will first find the prime factorization of 75525 and 75534. After we will calculate the factors of 75525 and 75534 and find the biggest common factor number .

Step-1: Prime Factorization of 75525

Prime factors of 75525 are 3, 5, 19, 53. Prime factorization of 75525 in exponential form is:

75525 = 31 × 52 × 191 × 531

Step-2: Prime Factorization of 75534

Prime factors of 75534 are 2, 3, 12589. Prime factorization of 75534 in exponential form is:

75534 = 21 × 31 × 125891

Step-3: Factors of 75525

List of positive integer factors of 75525 that divides 75525 without a remainder.

1, 3, 5, 15, 19, 25, 53, 57, 75, 95, 159, 265, 285, 475, 795, 1007, 1325, 1425, 3021, 3975, 5035, 15105, 25175

Step-4: Factors of 75534

List of positive integer factors of 75534 that divides 75525 without a remainder.

1, 2, 3, 6, 12589, 25178, 37767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75525 and 75534. The biggest common factor number is the GCF number.
So the greatest common factor 75525 and 75534 is 3.

Also check out the Least Common Multiple of 75525 and 75534