Greatest Common Factor of 10412 and 10416

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 10412, 10416 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10412 and 10416 is 4.

GCF(10412,10416) = 4

GCF of 10412 and 10416

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

GCF of:
and

Greatest Common Factor of 10412 and 10416

GCF of 10412 and 10416 is 4

Prime Factorization of 10412


2 10412
2 5206
19 2603
137 137
1

Prime factors of 10412 are 2,19,137. Prime factorization of 10412 in exponential form is:

10412 = 22×191×1371

Prime Factorization of 10416


2 10416
2 5208
2 2604
2 1302
3 651
7 217
31 31
1

Prime factors of 10416 are 2,3,7,31. Prime factorization of 10416 in exponential form is:

10416 = 24×31×71×311

∴ So by taking common prime factors GCF of 10412 and 10416 is 4

Greatest Common Factor of 10412 and 10416 by matching factors method

Factors of 10412

List of positive integer factors of 10412 that divides 10412 without a remainder.

1,2,4,19,38,76,137,274,548,2603,5206,10412

Factors of 10416

List of positive integer factors of 10416 that divides 10416 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,31,42,48,56,62,84,93,112,124,168,186,217,248,336,372,434,496,651,744,868,1302,1488,1736,2604,3472,5208,10416

Greatest Common Factor

We found the factors and prime factorization of 10412 and 10416. The biggest common factor number is the GCF number.
So the greatest common factor 10412 and 10416 is 4.

Also check out the Least Common Multiple of 10412 and 10416

Properties of GCF 10412 and 10416

(i) The GCF of 10412 and 10416 is associative

GCF of 10412 and 10416 = GCF of 10416 and 10412

Related Greatest Common Factor of 10412

Related Greatest Common Factor of 10416

Frequently Asked Questions on GCF of 10412 and 10416

1. What is the GCF of 10412 and 10416?

Answer: GCF of 10412 and 10416 is 4.

2. What are the Factors of 10412?

Answer: Factors of 10412 are 1, 2, 4, 19, 38, 76, 137, 274, 548, 2603, 5206, 10412. There are 12 integers that are factors of 10412. The greatest factor of 10412 is 10412.

3. What are the Factors of 10416?

Answer: Factors of 10416 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 31, 42, 48, 56, 62, 84, 93, 112, 124, 168, 186, 217, 248, 336, 372, 434, 496, 651, 744, 868, 1302, 1488, 1736, 2604, 3472, 5208, 10416. There are 40 integers that are factors of 10416. The greatest factor of 10416 is 10416.

4. How to Find the GCF of 10412 and 10416?

Answer:

Greatest Common Factor of 10412 and 10416 = 4

Step 1: Find the prime factorization of 10412

10412 = 2 x 2 x 19 x 137

Step 2: Find the prime factorization of 10416

10416 = 2 x 2 x 2 x 2 x 3 x 7 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10412 and 10416 is 4