What is the Greatest Common Factor of 3471 and 3489?

Greatest common factor (GCF) of 3471 and 3489 is 3.

GCF(3471,3489) = 3

We will now calculate the prime factors of 3471 and 3489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3471 and 3489.

How to find the GCF of 3471 and 3489?

We will first find the prime factorization of 3471 and 3489. After we will calculate the factors of 3471 and 3489 and find the biggest common factor number .

Step-1: Prime Factorization of 3471

Prime factors of 3471 are 3, 13, 89. Prime factorization of 3471 in exponential form is:

3471 = 3¹ × 13¹ × 89¹

Step-2: Prime Factorization of 3489

Prime factors of 3489 are 3, 1163. Prime factorization of 3489 in exponential form is:

3489 = 3¹ × 1163¹

Step-3: Factors of 3471

List of positive integer factors of 3471 that divides 3471 without a remainder.

1, 3, 13, 39, 89, 267, 1157

Step-4: Factors of 3489

List of positive integer factors of 3489 that divides 3471 without a remainder.

1, 3, 1163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3471 and 3489. The biggest common factor number is the GCF number.
So the greatest common factor 3471 and 3489 is 3.

Also check out the Least Common Multiple of 3471 and 3489