What is the Greatest Common Factor of 33502 and 33509?

Greatest common factor (GCF) of 33502 and 33509 is 7.

GCF(33502,33509) = 7

We will now calculate the prime factors of 33502 and 33509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33502 and 33509.

How to find the GCF of 33502 and 33509?

We will first find the prime factorization of 33502 and 33509. After we will calculate the factors of 33502 and 33509 and find the biggest common factor number .

Step-1: Prime Factorization of 33502

Prime factors of 33502 are 2, 7, 2393. Prime factorization of 33502 in exponential form is:

33502 = 2¹ × 7¹ × 2393¹

Step-2: Prime Factorization of 33509

Prime factors of 33509 are 7, 4787. Prime factorization of 33509 in exponential form is:

33509 = 7¹ × 4787¹

Step-3: Factors of 33502

List of positive integer factors of 33502 that divides 33502 without a remainder.

1, 2, 7, 14, 2393, 4786, 16751

Step-4: Factors of 33509

List of positive integer factors of 33509 that divides 33502 without a remainder.

1, 7, 4787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33502 and 33509. The biggest common factor number is the GCF number.
So the greatest common factor 33502 and 33509 is 7.

Also check out the Least Common Multiple of 33502 and 33509