Greatest Common Factor of 3493 and 3499

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 3493 and 3499 by prime factorization method
• Greatest Common Factor of 3493 and 3499 by matching factors method

Prime Factorization of 3493

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

3493 = 7¹×499¹

Prime Factorization of 3499

Prime factors of 3499 are 3499. Prime factorization of 3499 in exponential form is:

3499 = 3499¹

∴ So by taking common prime factors GCF of 3493 and 3499 is 1

Factors of 3493

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

1,7,499,3493

Factors of 3499

List of positive integer factors of 3499 that divides 3499 without a remainder.

1,3499

Greatest Common Factor

We found the factors and prime factorization of 3493 and 3499. The biggest common factor number is the GCF number.
So the greatest common factor 3493 and 3499 is 1.

Also check out the Least Common Multiple of 3493 and 3499

(i) The GCF of 3493 and 3499 is associative

GCF of 3493 and 3499 = GCF of 3499 and 3493

1. What is the GCF of 3493 and 3499?

Answer: GCF of 3493 and 3499 is 1.

2. What are the Factors of 3493?

Answer: Factors of 3493 are 1, 7, 499, 3493. There are 4 integers that are factors of 3493. The greatest factor of 3493 is 3493.

3. What are the Factors of 3499?

Answer: Factors of 3499 are 1, 3499. There are 2 integers that are factors of 3499. The greatest factor of 3499 is 3499.

4. How to Find the GCF of 3493 and 3499?

Answer:

Greatest Common Factor of 3493 and 3499 = 1

Step 1: Find the prime factorization of 3493

3493 = 7 x 499

Step 2: Find the prime factorization of 3499

3499 = 3499

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3493 and 3499 is 1