What is the Greatest Common Factor of 3493 and 3507?

Greatest common factor (GCF) of 3493 and 3507 is 7.

GCF(3493,3507) = 7

We will now calculate the prime factors of 3493 and 3507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3493 and 3507.

How to find the GCF of 3493 and 3507?

We will first find the prime factorization of 3493 and 3507. After we will calculate the factors of 3493 and 3507 and find the biggest common factor number .

Step-1: Prime Factorization of 3493

Prime factors of 3493 are 7, 499. Prime factorization of 3493 in exponential form is:

3493 = 7¹ × 499¹

Step-2: Prime Factorization of 3507

Prime factors of 3507 are 3, 7, 167. Prime factorization of 3507 in exponential form is:

3507 = 3¹ × 7¹ × 167¹

Step-3: Factors of 3493

List of positive integer factors of 3493 that divides 3493 without a remainder.

1, 7, 499

Step-4: Factors of 3507

List of positive integer factors of 3507 that divides 3493 without a remainder.

1, 3, 7, 21, 167, 501, 1169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3493 and 3507. The biggest common factor number is the GCF number.
So the greatest common factor 3493 and 3507 is 7.

Also check out the Least Common Multiple of 3493 and 3507