Greatest Common Factor of 3493 and 3496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3493, 3496 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3493 and 3496 is 1.

GCF(3493,3496) = 1

GCF of 3493 and 3496

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

GCF of:
and

Greatest Common Factor of 3493 and 3496

GCF of 3493 and 3496 is 1

Prime Factorization of 3493


7 3493
499 499
1

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

3493 = 71×4991

Prime Factorization of 3496


2 3496
2 1748
2 874
19 437
23 23
1

Prime factors of 3496 are 2,19,23. Prime factorization of 3496 in exponential form is:

3496 = 23×191×231

∴ So by taking common prime factors GCF of 3493 and 3496 is 1

Greatest Common Factor of 3493 and 3496 by matching factors method

Factors of 3493

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

1,7,499,3493

Factors of 3496

List of positive integer factors of 3496 that divides 3496 without a remainder.

1,2,4,8,19,23,38,46,76,92,152,184,437,874,1748,3496

Greatest Common Factor

We found the factors and prime factorization of 3493 and 3496. The biggest common factor number is the GCF number.
So the greatest common factor 3493 and 3496 is 1.

Also check out the Least Common Multiple of 3493 and 3496

Properties of GCF 3493 and 3496

(i) The GCF of 3493 and 3496 is associative

GCF of 3493 and 3496 = GCF of 3496 and 3493

Related Greatest Common Factor of 3493

Related Greatest Common Factor of 3496

Frequently Asked Questions on GCF of 3493 and 3496

1. What is the GCF of 3493 and 3496?

Answer: GCF of 3493 and 3496 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 3496?

Answer: Factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496. There are 16 integers that are factors of 3496. The greatest factor of 3496 is 3496.

4. How to Find the GCF of 3493 and 3496?

Answer:

Greatest Common Factor of 3493 and 3496 = 1

Step 1: Find the prime factorization of 3493

3493 = 7 x 499

Step 2: Find the prime factorization of 3496

3496 = 2 x 2 x 2 x 19 x 23

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 3496 is 1