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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 10423 and 10428 is associative
GCF of 10423 and 10428 = GCF of 10428 and 10423
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