What is the Greatest Common Factor of 3270 and 3290?

Greatest common factor (GCF) of 3270 and 3290 is 10.

GCF(3270,3290) = 10

We will now calculate the prime factors of 3270 and 3290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3270 and 3290.

How to find the GCF of 3270 and 3290?

We will first find the prime factorization of 3270 and 3290. After we will calculate the factors of 3270 and 3290 and find the biggest common factor number .

Step-1: Prime Factorization of 3270

Prime factors of 3270 are 2, 3, 5, 109. Prime factorization of 3270 in exponential form is:

3270 = 2¹ × 3¹ × 5¹ × 109¹

Step-2: Prime Factorization of 3290

Prime factors of 3290 are 2, 5, 7, 47. Prime factorization of 3290 in exponential form is:

3290 = 2¹ × 5¹ × 7¹ × 47¹

Step-3: Factors of 3270

List of positive integer factors of 3270 that divides 3270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 109, 218, 327, 545, 654, 1090, 1635

Step-4: Factors of 3290

List of positive integer factors of 3290 that divides 3270 without a remainder.

1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3270 and 3290. The biggest common factor number is the GCF number.
So the greatest common factor 3270 and 3290 is 10.

Also check out the Least Common Multiple of 3270 and 3290