What is the Greatest Common Factor of 3502 and 3519?

Greatest common factor (GCF) of 3502 and 3519 is 17.

GCF(3502,3519) = 17

We will now calculate the prime factors of 3502 and 3519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3502 and 3519.

How to find the GCF of 3502 and 3519?

We will first find the prime factorization of 3502 and 3519. After we will calculate the factors of 3502 and 3519 and find the biggest common factor number .

Step-1: Prime Factorization of 3502

Prime factors of 3502 are 2, 17, 103. Prime factorization of 3502 in exponential form is:

3502 = 2¹ × 17¹ × 103¹

Step-2: Prime Factorization of 3519

Prime factors of 3519 are 3, 17, 23. Prime factorization of 3519 in exponential form is:

3519 = 3² × 17¹ × 23¹

Step-3: Factors of 3502

List of positive integer factors of 3502 that divides 3502 without a remainder.

1, 2, 17, 34, 103, 206, 1751

Step-4: Factors of 3519

List of positive integer factors of 3519 that divides 3502 without a remainder.

1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3502 and 3519. The biggest common factor number is the GCF number.
So the greatest common factor 3502 and 3519 is 17.

Also check out the Least Common Multiple of 3502 and 3519