What is the Greatest Common Factor of 3525 and 3534?

Greatest common factor (GCF) of 3525 and 3534 is 3.

GCF(3525,3534) = 3

We will now calculate the prime factors of 3525 and 3534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3525 and 3534.

How to find the GCF of 3525 and 3534?

We will first find the prime factorization of 3525 and 3534. After we will calculate the factors of 3525 and 3534 and find the biggest common factor number .

Step-1: Prime Factorization of 3525

Prime factors of 3525 are 3, 5, 47. Prime factorization of 3525 in exponential form is:

3525 = 3¹ × 5² × 47¹

Step-2: Prime Factorization of 3534

Prime factors of 3534 are 2, 3, 19, 31. Prime factorization of 3534 in exponential form is:

3534 = 2¹ × 3¹ × 19¹ × 31¹

Step-3: Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175

Step-4: Factors of 3534

List of positive integer factors of 3534 that divides 3525 without a remainder.

1, 2, 3, 6, 19, 31, 38, 57, 62, 93, 114, 186, 589, 1178, 1767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3525 and 3534. The biggest common factor number is the GCF number.
So the greatest common factor 3525 and 3534 is 3.

Also check out the Least Common Multiple of 3525 and 3534