What is the Greatest Common Factor of 33674 and 33689?

Greatest common factor (GCF) of 33674 and 33689 is 1.

GCF(33674,33689) = 1

We will now calculate the prime factors of 33674 and 33689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33674 and 33689.

How to find the GCF of 33674 and 33689?

We will first find the prime factorization of 33674 and 33689. After we will calculate the factors of 33674 and 33689 and find the biggest common factor number .

Step-1: Prime Factorization of 33674

Prime factors of 33674 are 2, 113, 149. Prime factorization of 33674 in exponential form is:

33674 = 2¹ × 113¹ × 149¹

Step-2: Prime Factorization of 33689

Prime factors of 33689 are 59, 571. Prime factorization of 33689 in exponential form is:

33689 = 59¹ × 571¹

Step-3: Factors of 33674

List of positive integer factors of 33674 that divides 33674 without a remainder.

1, 2, 113, 149, 226, 298, 16837

Step-4: Factors of 33689

List of positive integer factors of 33689 that divides 33674 without a remainder.

1, 59, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33674 and 33689. The biggest common factor number is the GCF number.
So the greatest common factor 33674 and 33689 is 1.

Also check out the Least Common Multiple of 33674 and 33689