Greatest Common Factor of 10428 and 10432

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 10428, 10432 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10428 and 10432 is 4.

GCF(10428,10432) = 4

GCF of 10428 and 10432

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

GCF of:
and

Greatest Common Factor of 10428 and 10432

GCF of 10428 and 10432 is 4

Prime Factorization of 10428


2 10428
2 5214
3 2607
11 869
79 79
1

Prime factors of 10428 are 2,3,11,79. Prime factorization of 10428 in exponential form is:

10428 = 22×31×111×791

Prime Factorization of 10432


2 10432
2 5216
2 2608
2 1304
2 652
2 326
163 163
1

Prime factors of 10432 are 2,163. Prime factorization of 10432 in exponential form is:

10432 = 26×1631

∴ So by taking common prime factors GCF of 10428 and 10432 is 4

Greatest Common Factor of 10428 and 10432 by matching factors method

Factors of 10428

List of positive integer factors of 10428 that divides 10428 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,79,132,158,237,316,474,869,948,1738,2607,3476,5214,10428

Factors of 10432

List of positive integer factors of 10432 that divides 10432 without a remainder.

1,2,4,8,16,32,64,163,326,652,1304,2608,5216,10432

Greatest Common Factor

We found the factors and prime factorization of 10428 and 10432. The biggest common factor number is the GCF number.
So the greatest common factor 10428 and 10432 is 4.

Also check out the Least Common Multiple of 10428 and 10432

Properties of GCF 10428 and 10432

(i) The GCF of 10428 and 10432 is associative

GCF of 10428 and 10432 = GCF of 10432 and 10428

Related Greatest Common Factor of 10428

Related Greatest Common Factor of 10432

Frequently Asked Questions on GCF of 10428 and 10432

1. What is the GCF of 10428 and 10432?

Answer: GCF of 10428 and 10432 is 4.

2. What are the Factors of 10428?

Answer: Factors of 10428 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 79, 132, 158, 237, 316, 474, 869, 948, 1738, 2607, 3476, 5214, 10428. There are 24 integers that are factors of 10428. The greatest factor of 10428 is 10428.

3. What are the Factors of 10432?

Answer: Factors of 10432 are 1, 2, 4, 8, 16, 32, 64, 163, 326, 652, 1304, 2608, 5216, 10432. There are 14 integers that are factors of 10432. The greatest factor of 10432 is 10432.

4. How to Find the GCF of 10428 and 10432?

Answer:

Greatest Common Factor of 10428 and 10432 = 4

Step 1: Find the prime factorization of 10428

10428 = 2 x 2 x 3 x 11 x 79

Step 2: Find the prime factorization of 10432

10432 = 2 x 2 x 2 x 2 x 2 x 2 x 163

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 10428 and 10432 is 4