Greatest Common Factor of 3496 and 3504

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 3496, 3504 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3496 and 3504 is 8.

GCF(3496,3504) = 8

GCF of 3496 and 3504

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

GCF of:
and

Greatest Common Factor of 3496 and 3504

GCF of 3496 and 3504 is 8

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

Prime Factorization of 3504


2 3504
2 1752
2 876
2 438
3 219
73 73
1

Prime factors of 3504 are 2,3,73. Prime factorization of 3504 in exponential form is:

3504 = 24×31×731

∴ So by taking common prime factors GCF of 3496 and 3504 is 8

Greatest Common Factor of 3496 and 3504 by matching factors method

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

Factors of 3504

List of positive integer factors of 3504 that divides 3504 without a remainder.

1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504

Greatest Common Factor

We found the factors and prime factorization of 3496 and 3504. The biggest common factor number is the GCF number.
So the greatest common factor 3496 and 3504 is 8.

Also check out the Least Common Multiple of 3496 and 3504

Properties of GCF 3496 and 3504

(i) The GCF of 3496 and 3504 is associative

GCF of 3496 and 3504 = GCF of 3504 and 3496

Related Greatest Common Factor of 3496

Related Greatest Common Factor of 3504

Frequently Asked Questions on GCF of 3496 and 3504

1. What is the GCF of 3496 and 3504?

Answer: GCF of 3496 and 3504 is 8.

2. 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.

3. What are the Factors of 3504?

Answer: Factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504. There are 20 integers that are factors of 3504. The greatest factor of 3504 is 3504.

4. How to Find the GCF of 3496 and 3504?

Answer:

Greatest Common Factor of 3496 and 3504 = 8

Step 1: Find the prime factorization of 3496

3496 = 2 x 2 x 2 x 19 x 23

Step 2: Find the prime factorization of 3504

3504 = 2 x 2 x 2 x 2 x 3 x 73

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3496 and 3504 is 8