What is the Greatest Common Factor of 33545 and 33560?

Greatest common factor (GCF) of 33545 and 33560 is 5.

GCF(33545,33560) = 5

We will now calculate the prime factors of 33545 and 33560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33545 and 33560.

How to find the GCF of 33545 and 33560?

We will first find the prime factorization of 33545 and 33560. After we will calculate the factors of 33545 and 33560 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 33560

Prime factors of 33560 are 2, 5, 839. Prime factorization of 33560 in exponential form is:

33560 = 2³ × 5¹ × 839¹

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 33560

List of positive integer factors of 33560 that divides 33545 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 839, 1678, 3356, 4195, 6712, 8390, 16780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33545 and 33560. The biggest common factor number is the GCF number.
So the greatest common factor 33545 and 33560 is 5.

Also check out the Least Common Multiple of 33545 and 33560