What is the Greatest Common Factor of 3497 and 3503?

Greatest common factor (GCF) of 3497 and 3503 is 1.

GCF(3497,3503) = 1

We will now calculate the prime factors of 3497 and 3503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3497 and 3503.

How to find the GCF of 3497 and 3503?

We will first find the prime factorization of 3497 and 3503. After we will calculate the factors of 3497 and 3503 and find the biggest common factor number .

Step-1: Prime Factorization of 3497

Prime factors of 3497 are 13, 269. Prime factorization of 3497 in exponential form is:

3497 = 13¹ × 269¹

Step-2: Prime Factorization of 3503

Prime factors of 3503 are 31, 113. Prime factorization of 3503 in exponential form is:

3503 = 31¹ × 113¹

Step-3: Factors of 3497

List of positive integer factors of 3497 that divides 3497 without a remainder.

1, 13, 269

Step-4: Factors of 3503

List of positive integer factors of 3503 that divides 3497 without a remainder.

1, 31, 113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3497 and 3503. The biggest common factor number is the GCF number.
So the greatest common factor 3497 and 3503 is 1.

Also check out the Least Common Multiple of 3497 and 3503