What is the Greatest Common Factor of 3485 and 3496?

Greatest common factor (GCF) of 3485 and 3496 is 1.

GCF(3485,3496) = 1

We will now calculate the prime factors of 3485 and 3496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3485 and 3496.

How to find the GCF of 3485 and 3496?

We will first find the prime factorization of 3485 and 3496. After we will calculate the factors of 3485 and 3496 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 3496

Prime factors of 3496 are 2, 19, 23. Prime factorization of 3496 in exponential form is:

3496 = 2³ × 19¹ × 23¹

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 3496

List of positive integer factors of 3496 that divides 3485 without a remainder.

1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3485 and 3496. The biggest common factor number is the GCF number.
So the greatest common factor 3485 and 3496 is 1.

Also check out the Least Common Multiple of 3485 and 3496