What is the Greatest Common Factor of 3486 and 3501?

Greatest common factor (GCF) of 3486 and 3501 is 3.

GCF(3486,3501) = 3

We will now calculate the prime factors of 3486 and 3501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3486 and 3501.

How to find the GCF of 3486 and 3501?

We will first find the prime factorization of 3486 and 3501. After we will calculate the factors of 3486 and 3501 and find the biggest common factor number .

Step-1: Prime Factorization of 3486

Prime factors of 3486 are 2, 3, 7, 83. Prime factorization of 3486 in exponential form is:

3486 = 2¹ × 3¹ × 7¹ × 83¹

Step-2: Prime Factorization of 3501

Prime factors of 3501 are 3, 389. Prime factorization of 3501 in exponential form is:

3501 = 3² × 389¹

Step-3: Factors of 3486

List of positive integer factors of 3486 that divides 3486 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743

Step-4: Factors of 3501

List of positive integer factors of 3501 that divides 3486 without a remainder.

1, 3, 9, 389, 1167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3486 and 3501. The biggest common factor number is the GCF number.
So the greatest common factor 3486 and 3501 is 3.

Also check out the Least Common Multiple of 3486 and 3501