What is the Greatest Common Factor of 3498 and 3503?

Greatest common factor (GCF) of 3498 and 3503 is 1.

GCF(3498,3503) = 1

We will now calculate the prime factors of 3498 and 3503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3498 and 3503.

How to find the GCF of 3498 and 3503?

We will first find the prime factorization of 3498 and 3503. After we will calculate the factors of 3498 and 3503 and find the biggest common factor number .

Step-1: Prime Factorization of 3498

Prime factors of 3498 are 2, 3, 11, 53. Prime factorization of 3498 in exponential form is:

3498 = 2¹ × 3¹ × 11¹ × 53¹

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 3498

List of positive integer factors of 3498 that divides 3498 without a remainder.

1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749

Step-4: Factors of 3503

List of positive integer factors of 3503 that divides 3498 without a remainder.

1, 31, 113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3498 and 3503. The biggest common factor number is the GCF number.
So the greatest common factor 3498 and 3503 is 1.

Also check out the Least Common Multiple of 3498 and 3503