What is the Greatest Common Factor of 33517 and 33534?

Greatest common factor (GCF) of 33517 and 33534 is 1.

GCF(33517,33534) = 1

We will now calculate the prime factors of 33517 and 33534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33517 and 33534.

How to find the GCF of 33517 and 33534?

We will first find the prime factorization of 33517 and 33534. After we will calculate the factors of 33517 and 33534 and find the biggest common factor number .

Step-1: Prime Factorization of 33517

Prime factors of 33517 are 11, 277. Prime factorization of 33517 in exponential form is:

33517 = 11² × 277¹

Step-2: Prime Factorization of 33534

Prime factors of 33534 are 2, 3, 23. Prime factorization of 33534 in exponential form is:

33534 = 2¹ × 3⁶ × 23¹

Step-3: Factors of 33517

List of positive integer factors of 33517 that divides 33517 without a remainder.

1, 11, 121, 277, 3047

Step-4: Factors of 33534

List of positive integer factors of 33534 that divides 33517 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 243, 414, 486, 621, 729, 1242, 1458, 1863, 3726, 5589, 11178, 16767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33517 and 33534. The biggest common factor number is the GCF number.
So the greatest common factor 33517 and 33534 is 1.

Also check out the Least Common Multiple of 33517 and 33534