What is the Greatest Common Factor of 33545 and 33565?

Greatest common factor (GCF) of 33545 and 33565 is 5.

GCF(33545,33565) = 5

We will now calculate the prime factors of 33545 and 33565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33545 and 33565.

How to find the GCF of 33545 and 33565?

We will first find the prime factorization of 33545 and 33565. After we will calculate the factors of 33545 and 33565 and find the biggest common factor number .

Step-1: Prime Factorization of 33545

Prime factors of 33545 are 5, 6709. Prime factorization of 33545 in exponential form is:

33545 = 5¹ × 6709¹

Step-2: Prime Factorization of 33565

Prime factors of 33565 are 5, 7, 137. Prime factorization of 33565 in exponential form is:

33565 = 5¹ × 7² × 137¹

Step-3: Factors of 33545

List of positive integer factors of 33545 that divides 33545 without a remainder.

1, 5, 6709

Step-4: Factors of 33565

List of positive integer factors of 33565 that divides 33545 without a remainder.

1, 5, 7, 35, 49, 137, 245, 685, 959, 4795, 6713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33545 and 33565. The biggest common factor number is the GCF number.
So the greatest common factor 33545 and 33565 is 5.

Also check out the Least Common Multiple of 33545 and 33565