Greatest Common Factor of 3494 and 3499

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

• Greatest Common Factor of 3494 and 3499 by prime factorization method
• Greatest Common Factor of 3494 and 3499 by matching factors method

Prime Factorization of 3494

Prime factors of 3494 are 2,1747. Prime factorization of 3494 in exponential form is:

3494 = 2¹×1747¹

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 3494 and 3499 is 1

Factors of 3494

List of positive integer factors of 3494 that divides 3494 without a remainder.

1,2,1747,3494

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 3494 and 3499. The biggest common factor number is the GCF number.
So the greatest common factor 3494 and 3499 is 1.

Also check out the Least Common Multiple of 3494 and 3499

(i) The GCF of 3494 and 3499 is associative

GCF of 3494 and 3499 = GCF of 3499 and 3494

1. What is the GCF of 3494 and 3499?

Answer: GCF of 3494 and 3499 is 1.

2. What are the Factors of 3494?

Answer: Factors of 3494 are 1, 2, 1747, 3494. There are 4 integers that are factors of 3494. The greatest factor of 3494 is 3494.

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 3494 and 3499?

Answer:

Greatest Common Factor of 3494 and 3499 = 1

Step 1: Find the prime factorization of 3494

3494 = 2 x 1747

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 3494 and 3499 is 1