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 10058, 10062 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10058 and 10062 is 2.
GCF(10058,10062) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10058
2 | 10058 |
47 | 5029 |
107 | 107 |
1 |
Prime factors of 10058 are 2,47,107. Prime factorization of 10058 in exponential form is:
10058 = 21×471×1071
Prime Factorization of 10062
2 | 10062 |
3 | 5031 |
3 | 1677 |
13 | 559 |
43 | 43 |
1 |
Prime factors of 10062 are 2,3,13,43. Prime factorization of 10062 in exponential form is:
10062 = 21×32×131×431
∴ So by taking common prime factors GCF of 10058 and 10062 is 2
Factors of 10058
List of positive integer factors of 10058 that divides 10058 without a remainder.
1,2,47,94,107,214,5029,10058
Factors of 10062
List of positive integer factors of 10062 that divides 10062 without a remainder.
1,2,3,6,9,13,18,26,39,43,78,86,117,129,234,258,387,559,774,1118,1677,3354,5031,10062
Greatest Common Factor
We found the factors and prime factorization of 10058 and 10062. The biggest common factor number is the GCF number.
So the greatest common factor 10058 and 10062 is 2.
Also check out the Least Common Multiple of 10058 and 10062
(i) The GCF of 10058 and 10062 is associative
GCF of 10058 and 10062 = GCF of 10062 and 10058
1. What is the GCF of 10058 and 10062?
Answer: GCF of 10058 and 10062 is 2.
2. What are the Factors of 10058?
Answer: Factors of 10058 are 1, 2, 47, 94, 107, 214, 5029, 10058. There are 8 integers that are factors of 10058. The greatest factor of 10058 is 10058.
3. What are the Factors of 10062?
Answer: Factors of 10062 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062. There are 24 integers that are factors of 10062. The greatest factor of 10062 is 10062.
4. How to Find the GCF of 10058 and 10062?
Answer:
Greatest Common Factor of 10058 and 10062 = 2
Step 1: Find the prime factorization of 10058
10058 = 2 x 47 x 107
Step 2: Find the prime factorization of 10062
10062 = 2 x 3 x 3 x 13 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 10058 and 10062 is 2