Greatest Common Factor of 10423 and 10428

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 10423, 10428 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10423 and 10428 is 1.

GCF(10423,10428) = 1

GCF of 10423 and 10428

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

GCF of:
and

Greatest Common Factor of 10423 and 10428

GCF of 10423 and 10428 is 1

Prime Factorization of 10423


7 10423
1489 1489
1

Prime factors of 10423 are 7,1489. Prime factorization of 10423 in exponential form is:

10423 = 71×14891

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

∴ So by taking common prime factors GCF of 10423 and 10428 is 1

Greatest Common Factor of 10423 and 10428 by matching factors method

Factors of 10423

List of positive integer factors of 10423 that divides 10423 without a remainder.

1,7,1489,10423

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

Greatest Common Factor

We found the factors and prime factorization of 10423 and 10428. The biggest common factor number is the GCF number.
So the greatest common factor 10423 and 10428 is 1.

Also check out the Least Common Multiple of 10423 and 10428

Properties of GCF 10423 and 10428

(i) The GCF of 10423 and 10428 is associative

GCF of 10423 and 10428 = GCF of 10428 and 10423

Frequently Asked Questions on GCF of 10423 and 10428

1. What is the GCF of 10423 and 10428?

Answer: GCF of 10423 and 10428 is 1.

2. What are the Factors of 10423?

Answer: Factors of 10423 are 1, 7, 1489, 10423. There are 4 integers that are factors of 10423. The greatest factor of 10423 is 10423.

3. 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.

4. How to Find the GCF of 10423 and 10428?

Answer:

Greatest Common Factor of 10423 and 10428 = 1

Step 1: Find the prime factorization of 10423

10423 = 7 x 1489

Step 2: Find the prime factorization of 10428

10428 = 2 x 2 x 3 x 11 x 79

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 10423 and 10428 is 1