What is the Greatest Common Factor of 3485 and 3502?

Greatest common factor (GCF) of 3485 and 3502 is 17.

GCF(3485,3502) = 17

We will now calculate the prime factors of 3485 and 3502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3485 and 3502.

How to find the GCF of 3485 and 3502?

We will first find the prime factorization of 3485 and 3502. After we will calculate the factors of 3485 and 3502 and find the biggest common factor number .

Step-1: Prime Factorization of 3485

Prime factors of 3485 are 5, 17, 41. Prime factorization of 3485 in exponential form is:

3485 = 5¹ × 17¹ × 41¹

Step-2: 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-3: Factors of 3485

List of positive integer factors of 3485 that divides 3485 without a remainder.

1, 5, 17, 41, 85, 205, 697

Step-4: Factors of 3502

List of positive integer factors of 3502 that divides 3485 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3485 and 3502. The biggest common factor number is the GCF number.
So the greatest common factor 3485 and 3502 is 17.

Also check out the Least Common Multiple of 3485 and 3502