What is the Greatest Common Factor of 33715 and 33721?

Greatest common factor (GCF) of 33715 and 33721 is 1.

GCF(33715,33721) = 1

We will now calculate the prime factors of 33715 and 33721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33715 and 33721.

How to find the GCF of 33715 and 33721?

We will first find the prime factorization of 33715 and 33721. After we will calculate the factors of 33715 and 33721 and find the biggest common factor number .

Step-1: Prime Factorization of 33715

Prime factors of 33715 are 5, 11, 613. Prime factorization of 33715 in exponential form is:

33715 = 5¹ × 11¹ × 613¹

Step-2: Prime Factorization of 33721

Prime factors of 33721 are 33721. Prime factorization of 33721 in exponential form is:

33721 = 33721¹

Step-3: Factors of 33715

List of positive integer factors of 33715 that divides 33715 without a remainder.

1, 5, 11, 55, 613, 3065, 6743

Step-4: Factors of 33721

List of positive integer factors of 33721 that divides 33715 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33715 and 33721. The biggest common factor number is the GCF number.
So the greatest common factor 33715 and 33721 is 1.

Also check out the Least Common Multiple of 33715 and 33721