What is the Greatest Common Factor of 33470 and 33489?

Greatest common factor (GCF) of 33470 and 33489 is 1.

GCF(33470,33489) = 1

We will now calculate the prime factors of 33470 and 33489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33470 and 33489.

How to find the GCF of 33470 and 33489?

We will first find the prime factorization of 33470 and 33489. After we will calculate the factors of 33470 and 33489 and find the biggest common factor number .

Step-1: Prime Factorization of 33470

Prime factors of 33470 are 2, 5, 3347. Prime factorization of 33470 in exponential form is:

33470 = 2¹ × 5¹ × 3347¹

Step-2: Prime Factorization of 33489

Prime factors of 33489 are 3, 61. Prime factorization of 33489 in exponential form is:

33489 = 3² × 61²

Step-3: Factors of 33470

List of positive integer factors of 33470 that divides 33470 without a remainder.

1, 2, 5, 10, 3347, 6694, 16735

Step-4: Factors of 33489

List of positive integer factors of 33489 that divides 33470 without a remainder.

1, 3, 9, 61, 183, 549, 3721, 11163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33470 and 33489. The biggest common factor number is the GCF number.
So the greatest common factor 33470 and 33489 is 1.

Also check out the Least Common Multiple of 33470 and 33489